Volume 51 (No 1-2021)
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CONTENTS
1. PARAMETRIC SET-VALUED OPTIMIZATION PROBLEMS UNDER GENERALIZED CONE CONVEXITY
By
¹Koushik Das and Chandal Nahak²
¹Department of Mathematics, Taki Government College, Taki - 743429, West Bengal, India
²Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur - 721302, West Bengal, India
Email:koushikdas.maths@gmail.com; cnahak@maths.iitkgp.ac.in
(Received : February 11, 2020; Revised: February 19, 2021)
https://doi.org/10.58250/Jnanabha.2021.51101
1-11 [Download]
2. ON THE RATE OF CONVERGENCE OF WAVELET FOURIER SERIES
By
Varsha Karanjgaokar
Department of Mathematics,Government N.P.G.College of Science Raipur-492010, Chhattisgarh, India
Email:vardhakar@yahoo.com
Namrata Shrivastav
Government Kavyopadhyay Hiralal College, Abhanpur 493661, Chhattisgarh, India
Email:namrata.shrivastav1902@gmail.com
Snehal Rahatgaonkar
Maharaja Agrasen International College, Raipur 492001, Chhattisgarh, India
Email:snehal.gulkari@gmail.com
(Received : March 17, 2020; Revised: July 30, 2020; In final form : April 08, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51102
12-18 [Download]
3. APPLICATION OF GRAPH IN CONE PENTAGONAL METRIC SPACES
By
Shishir Jain and Pooja Chaubey
Shri Vaishnav Vidyapeeth Vishwavidyalaya,
Indore-453555, Madhya Pradesh, India
Email:chaubey.pooja8991@gmail.com
(Received : May 09, 2020; Revised: March 26, 2021; In final form : April 04, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51103
19-24 [Download]
4. PROPERTIES OF CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POLYLOGARITHM FUNCTION
By
Akanksha Sampat Shinde
Department of Mathematics, VPM’s BN Bandodkar College of Science,
Thane West - 422 601, Maharastra, India.
Email:akankshashinde1202@gmail.com
Rajkumar N. Ingle
Department of Mathematics,
Bahirji Smarak Mahavidyalay, Bashmathnagar - 431 512, Hingoli Dist., Maharastra, India.
Email:ingleraju11@gmail.com
P. Thirupathi Reddy
Department of Mathematics, Kakatiya University, Warangal- 506 009, Telangana, India.
Email:reddypt2gmail.com
( Received : June 01, 2020; Revised : February 08, 2021 ; Final form: March 23, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51104
25-33 [Download]
5. MATHEMATICAL STUDY OF FRACTIONAL DIABETES MODEL VIA A MODIFIED ANALYTICAL METHOD
By
Anju Devi and Manjeet Jakhar
Department of Mathematics, NIILM University, Kaithal-136027, Haryana, India
Email:anju.gill11@gmail.com, dr.manjeet.jakhar@gmail.com
(Received : June 03, 2020; Revised : February 18, 2021 ; In final form : April 23, 2021 )
DOI: https://doi.org/10.58250/Jnanabha.2021.51105
34-41 [Download]
6. FIXED POINT THEOREMS FOR DUALISTIC EXPANDING MAPPING IN DUALISTIC PARTIAL METRIC SPACES
By
Manoj Ughade¹, Sachin Dev Kushwaha² and Pannalal Sanodia³
¹Department of Postgraduate Studies and Research in Mathematics, Jaywanti Haksar Government Post Graduate
College, College of Chhindawara University, Betul-460001, Madhya Pradesh, India
²Department of Mathematics, IES College of Technology, College of University of Technology of Madhya Pradesh,
Bhopal-462010, Madhya Pradesh, India
³Department of Mathematics and Research Center, Institute for Excellence in Higher Education (Autonomous
College), Bhopal-462026, Madhya Pradesh, India
Correspondence should be addressed to Sachin Dev Kushwaha; Email:kushwahsachindev15@gmail.com
(Received : June 09 , 2020 ; Revised in final form : March 08 , 2021 )
DOI: https://doi.org/10.58250/Jnanabha.2021.51106
42-48 [Download]
7. A NOTE ON GENERALIZED GOL’DBERG ORDER AND GENERALIZED GOL’DBERG TYPE OF ENTIRE FUNCTION OF SEVERAL COMPLEX VARIABLES REPRESENTED BY MULTIPLE DIRICHLET SERIES
By
Chinmay Biswas Department of Mathematics,
Nabadwip, Vidyasagar College
Nabadwip (Nadia)-741302, West Bengal, India.
Email:chinmay.shib@gmail.com
Biswajit Saha
Department of Mathematics, Government General Degree College
Muragachha, Nakashipara (Nadia)-741154, West Bengal, India.
Email:sahaanjan11@gmail.com, sahabiswajitku@gmail.com
Tanmay Biswas
Rajbari, Rabindrapally, R. N. Tagore Road
P.O. Krishnagar, (Nadia)-741101, West Bengal, India.
Email:tanmaybiswas_math@rediffmail.com
(Received : October 07, 2020; Revised : October 23, 2020; Final form: February 24, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51107
49-56 [Download]
8. INTEGRAL AVERAGES FOR MULTI- INDEX MITTAG-LEFFLER FUNCTIONS VIA DOUBLE DIRICHLET MEASURES AND RELATED FRACTIONAL DERIVATIVES
By
Meena Kumari Gurjar
Department of Mathematics and Statistics
Jai Narain Vyas University, Jodhpur-342005 (Raj.), India
Email:meenanetj@gmail.com
(Received : October 10, 2020; Revised : October 14, 2020; Final form : April 23, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51108
57-63 [Download]
9. A NEW APPROACH TO THE STUDY OF FIXED POINT THEORY FOR EXPANSIVE MAPPINGS
By
Priya Shahi
St. Andrew’s College of Arts, Science and Commerce
St. Domnic Road, Bandra West-400050, Mumbai, Maharashtra, India
Email:p.shahi@standrewscollege.ac.in
(Received : October 28, 2020; Revised : April 13, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51109
64-67 [Download]
10. SOME FIXED POINT THEOREMS FOR (F, t)-CONTRACTIVE MAPPINGS ON INCOMPLETE METRIC SPACES
By
Deepak Khantwal* ¹, U. C. Gairola² , Gopi Prasad³ and A. Chauhan⁴
¹,⁴Department of Mathematics, Graphic Era Hill University,
Dehradun-248002, Uttarakhand, India
²Department of Mathematics, H.N.B. Garhwal University
BGR Campus, Pauri Garhwal-246001, Uttarakhand, India
³Department of Mathematics, H.N.B. Garhwal University
Birla Campus, Srinagar(Garhwal)-246174, Uttarakhand, India
Email:deepakkhantwal15@gmail.com*1, ucgairola@rediffmail.com², gopiprasad12@gmail.com³, ahichauhangolu@gmail.com⁴
(Received: December 03, 2020; Revised: December 15, 2020; In final form : March 23, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51110
68-73 [Download]
11. OME GENERALIZED SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED WITH SUBORDINATION
By
Gurmeet Singh¹ , Gagandeep Singh² and Gurcharanjit Singh³
¹Department of Mathematics,GSSDGS Khalsa College, Patiala-147001, Punjab, India.
Email:meetgur111@gmail.com
²Department of Mathematics, Khalsa College, Amritsar-143001, Punjab, India.
Email:kamboj.gagandeep@yahoo.in
³Research Scholar, Dept. of Mathematics, Pbi. University, Patiala-147002, Punjab, India.
Dept. of Mathematics, GNDU College, Chungh(Tarn Taran)-143304, Punjab, India.
Email:dhillongs82@yahoo.com
(Received: February 14, 2021 ; Revised in final form : March 09, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51111
74-78 [Download]
12. SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS CHARACTERIZING THE DYNAMICS OF A CURRENT COLLECTION SYSTEM FOR AN ELECTRIC
LOCOMOTIVE USING SHANNON WAVELET
By
Devendra Chouhan
Department of Mathematics Symbiosis University of Applied Sciences, Indore-453112, Madhya Pradesh, India.
Email:dchouhan100@gmail.com
R. S. Chandel
Department of Mathematics Government Geetanjali Girls College, Bhopal-462038, Madhya Pradesh, India.
Email:rs_chandel2009@yahoo.co.in
Uday Dolas
Department of Mathematics C. S. A. Government Postgraduate College, Sehore-466001, Madhya Pradesh, India.
Email:udolas@gmail.com
(Received : December 12, 2020 ; Revised in final form : March 22, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51112
79-87 [Download]
13. APPROXIMATE SOLUTION OF FRACTIONAL RICCATI DIFFERENTIAL EQUATION USING SUMUDU DECOMPOSITION METHOD
By
Nagesh B. Manjare and Hambirrao T. Dinde
Department of Mathematics, Shivaji University, Kolhapur 416004, Maharashtra, India.
Email:nageshmanjare@gmail.com; drhtdmaths@gmail.com
(Received : May 01, 2020; Revised : August 02, 2020 : Final form : April 20, 2021 )
DOI: https://doi.org/10.58250/Jnanabha.2021.51113
88-100 [Download]
14. ON SIMPLE BOUNDS FOR INVERSE HYPERBOLIC SINE AND INVERSE HYPERBOLIC TANGENT FUNCTIONS
By
Ramkrishna M. Dhaigude, Sumedh B. Thool
Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati-444604, Maharashtra, India Email:rmdhaigude@gmail.com, sumedhmaths@gmail.com
Yogesh J. Bagul
Department of Mathematics, K. K. M. College, Manwath, Dist: Parbhani-431505, Maharashtra, India
Email:yjbagul@gmail.com
and
Vinay M. Raut
Department of Mathematics, Shri. Shivaji Science College Amravati-444603, Maharashtra, India
Email:vinayraut18@gmail.com
(Received : April 04, 2021 ; Revised : April 22, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51114
101-108 [Download]
15. FRACTIONAL INTEGRAL OPERATORS IN RELATIONSHIP WITH R-FUNCTION
By
Naseer Ahmad Malik
Department of Mathematics Government Degree College, Sumbal, Sonawari, Bandipora-193501, Jammu and Kashmir, India. Email:drnaseerulhassan@gmail.com
Farooq Ahmad
Department of Mathematics Government College for Women, Nawakadal-190001, Jammu and Kashmir, India.
Email:sheikhfarooq85@gmail.com
D. K. Jain
Department of Mathematics Madhav Institute of Technology and Science, Gwalior-474005, Madhya Pradash, India.
Email:jain_dkj@yahoo.co.in
(Received : June 06, 2020; Revised : April 28, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51115
109-113 [Download]
16. ELECTRON BEAM PLASMA INSTABILITY IN HALL THRUSTER DEVICES
By
Saty Prakash Bharti, Sukhmander Singh
Department of Physics, Central University of Rajasthan, Ajmer, Kishangarh-305817, India,
Email:sukhmandersingh@curaj.ac.in
Sanjeev Kumar and Shravan Kumar Meena
Department of Physics, Motilal Nehru College University of Delhi, Near South campus, Delhi-110021
Email:sukhmandersingh@curaj.ac.in
(Received : April 01, 2021 ; Revised in final form : May 06, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51116
114-124 [Download]
17. RELATIONS AND IDENTITIES VIA CONTOUR INTEGRAL REPRESENTATIONS INVOLVING HURWITZ-LERCH ZETA TYPE FUNCTIONS FOR TWO VARIABLE SRIVASATAVA-DAOUST FUNCTIONS
By
Hemant Kumar¹ and R. C. Singh Chandel²
¹Department of Mathematics D. A-V. Postgraduate College Kanpur-208001, Uttar Pradesh, India
Email:palhemant2007@rediffmail.com
²Former Head, Department of Mathematics D. V. Postgraduate College Orai -285001, Uttar Pradesh, India
Email:rc_chandel@yahoo.com
(Received : May 12, 2021; In final form : May 17, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51117
125-132 [Download]
18. ON SOLUTION OF FRACTIONAL ADVECTION -DISPERSION EQUATION USING NHPM
By
Neelu Pareek¹ and Arvind Gupta²
¹Department of Mathematics, Bhagat Singh Government Postgraduate College, Jaora-457226, (Ratlam), Madhya
Pradesh, India
²Department of Mathematics, M. V. M., Bhopal-462011, Madhya Pradesh, India
Email:neelupareek1@gmail.com; arvind533@yahoo.com
(Received : July 29, 2020; Revised : May 23, 2021; In final form : May 28, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51118
133-141 [Download]
19. HEAT EQUATION OBTAINED BY l -DIFFERENCE OPERATOR CHANGE OF TIME WITH TWO VARIABLES
By
D. Rejin Rose and G. Dominic Babu
Department of Mathematics, Annai Velankanni College,
Tholayavattam-629157, Kanyakumari District,
Affiliated to Manonmaniam Sundaranar University, Abishekapatti,
Tirunelveli- 627012, Tamil Nadu, India.
Email:rejinrosejustes1980@ gmail.com
Received : July 26, 2020; Revised : May 15, 2021 ; In final form: June 27, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51119
142-151 [Download]
20. A COMMON FIXED POINT THEOREM FOR COMMON E.A. LIKE PROPERTY USING INTEGRAL TYPE INEQUALITY IN INTUITIONISTIC FUZZY METRIC SPACE
By
Rekha Agrawal
Research Scholar, Barkatullah University, Bhopal-462023, Madhya Pradesh, India.
Email:rekhaindia1981@gmail.com
R. S. Chandel
Department of Mathematics, Government Geetanjal Autonomous College, Bhopal-462001, Madhya Pradesh, India. Email:rs_chandel2009@yahoo.co.in
Hasan Abbas
Department of Mathematics, Saifia Science College, Bhopal-462001, Madhya Pradesh, India.
Email:hasanabbas866@gmail.com
(Received : April 08, 2020; Revised: March 23, 2021; In final form : May 30, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51120
152-158 [Download]
21. INVENTORY MANAGEMENT IN INFLATIONARY ENVIRONMENT UNDER DELAY IN PAYMENTS WITH SHORTAGES
By
Pooja Meena¹ Sita Meena² Anil Kumar Sharma³ AND Ganesh Kumar⁴
¹,⁴Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
²,³Department of Mathematics, R. R. Government College, Alwar-301704, Rajasthan, India
Email: 9285poojameena@gmail.com, sitameena66@gmail.com, anil.sharma.maths@gmail.com,
ganeshmandha1988@gmail.com
(Received: May 11, 2021 ; Revised : May 22, 2021 ; In final form : June 03, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51121
159-171 [Download]
22. ON THE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE LOGARITHMIC (p, q)-ORDER
By
Chinmay Ghosh¹ , Subhadip Khan² and Sutapa Mondal³
¹,³Department of Mathematics Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H., Asansol-713340, West Bengal, India
²Jotekamal High School, Village- Jotekamal, Block- Raghunathganj 2, Post- Jangipur, Dist- Murshidabad, Pin- 742213, West Bengal, India
¹chinmayarp@gmail.com, ²subhadip204@gmail.com, ³sutapapinku92@gmail.com
(Received : September 11, 2020, Revised : September 19, 2020 ; Final form : May 07, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51122
172-181 [Download]
23. INTEGRITY OF SOME DERIVED GRAPHS
By
B. Basavanagoud¹ and Shruti Policepatil²
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India
Email:¹b.basavanagoud@gmail.com, ²shrutipatil300@gmail.com
(Received : February 17, 2020 : In format: February 17, 2021; Revised in final form : June 21, 2021 )
DOI: https://doi.org/10.58250/Jnanabha.2021.51123
182-200 [Download]
24. FINITE AND INFINITE INTEGRAL FORMULAS ASSOCIATED WITH A FAMILY OF INCOMPLETE I-FUNCTIONS
By
Prachi Jain¹ , Neena Gupta² , Arvind Gupta³ and V. P. Saxena⁴
¹Motilal Vigyan Mahavidyalaya, Bhopal -462008, Madhya Pradesh, India.
²Career College, Bhopal -462023, Madhya Pradesh, India.
³Motilal Vigyan Mahavidyalaya, Bhopal -462008, Madhya Pradesh, India.
⁴Sagar Institute of Research, Technology and Science, Ayodhya Bye-pass Road, Bhopal -462041, Madhya Pradesh, India. Email:prachi.jain2804@gmail.com, gneena33@gmail.com, arvind533@yahoo.com and
vinodpsaxena@gmail.com
(Received : October 12, 2020; Revised: November 02, 2020; In final form : June 27, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51124
201-206 [Download]
25. NUMERICAL ELUCIDATION OF KLEIN-GORDON-ZAKHAROV SYSTEM
By
Ram Dayal Pankaj and Chiman Lal
Department of Mathematics, J.N.V. University, Jodhpur-342001 Rajasthan, India
Email:drrdpankaj@yahoo.com; chimanmongs@gmail.com
( Received : January 20, 2020; Revised : February 07, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51125
207-212 [Download]
26. SEMI INTEGRATION OF SOME ALGEBRAIC FUNCTIONS
By
M. I. Qureshi and Javid Majid*
Department of Applied Sciences and Humanities
Faculty of Engineering and Technology Jamia Millia Islamia (A Central University), New Delhi -110025, India.
Email:miqureshi_delhi@yahoo.co.in
*Corresponding author: Email:javidmajid375@gmail.com
(Received : February 20, 2021 ; Revised : March 06, 2021 ; In final form : June 29, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51126
213-218 [Download]
27. LOCALIZED DRUG DISTRIBUTION IN TWO DIMENSIONAL DERMAL REGIONS
By
Archana Sharma¹ and V. P. Saxena²
¹Department of Mathematics, Government Nehru Postgraduate College Ashoknagar-473338, Madhya Pradesh, India
²Former Vice-Chancellor, Jiwaji University, Gwalior-474009, Madhya Pradesh, India
Email:archanaaryaman80@ gmail.com, dr.archanasharma@mp.gov.in; vinodpsaxena@ gmail.com
(Received : January 13, 2021; Revised : February 06, 2021; In final form : June 29, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51127
219-231 [Download]
28. APPLYING INVERSE WOMERSLEY PROBLEM FOR INDIRECT DATA INTO GOOD QUALITY INPUT DATA FOR MATHEMATICAL MODELS OF BLOOD FLOW IN HUMAN
By
Anand Bansal
Department of Mathematics Government Engineering College, Ajmer-305001, Rajasthan, India
Email:dranandbansal@ecajmer.ac.in
P. Chaturani
Department of Mathematics (Retd.) IIT Powai, Mumbai - 400 076, India.
Email:pcchaturani@yahoo.com
(Received : August 24, 2020 ; Revised : May 04, 2021; In final form : June 28, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51128
232-238 [Download]
29. SUCCESSIVE INTEGRATION OF CERTAIN MATHEMATICAL FUNCTIONS USING HYPERGEOMETRIC APPROACH
By
Tafaz ul Rahman Shah* , M. I. Qureshi and Javid Majid
Department of Applied Sciences and Humanities
Faculty of Engineering and Technology
Jamia Millia Islamia (A Central University), New Delhi -110025, India.
Email: miqureshi_delhi@yahoo.co.in; javidmajid375@gmail.com
*Corresponding author: tafazuldiv@gmail.com
(Received : January 31, 2021 ; Revised in final form : June 29, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51129
239-244 [Download]
30. (A(., .), η)-MONOTONE MAPPINGS AND A SYSTEM OF GENERALIZED SET-VALUED VARIATIONAL-LIKE INCLUSION PROBLEM
By
Sumeera Shafiᵃ¹ and Vishnu Narayan Mishrabᵇ²
ᵃDepartment of Mathematics, University of Kashmir, Srinagar-190006, India
ᵇDepartment of Mathematics, Indira Gandhi National Tribal University
Lalpur, Amarkantak-484887, Madhya Pradesh, India
Email:¹sumeera.shafi@gmail.com(Sumeera Shafi)
²vishnunarayanmishra@gmail.com(Vishnu Narayan Mishra)
(Received : April 23, 2021 ; In format June 19, 2021 ; Revised in final form : June 30, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51130
245-253 [Download]