"Jñānābha" (Print ISSN 0304-9892, Online ISSN 2455-7463) is an Open Access Journal published by "Vijñāna Parishad of India" since 1971 is an interdisciplinary journal devoted primarily to research articles in all areas of mathematical and physical sciences.

It however encourages only original mathematical works, which are motivated by and relevant to applications in the social, management, biomedical or engineering sciences.

Jñānābha is a UGC Approved Journal (UGC-CARE Reference List of Quality Journals).

Since inception 1971, its content is available in hard copy as well as online.

Jñānābha is a peer-reviewed (Duly-refereed) Journal with a truly International Editorial Board. Published papers in Jñānābha are reviewed among others Zentralblatt fur Mathematik, Germany and Mathematical Reviews, USA.

Jñānābha Editors


Chief Editor

Department of Mathematics

University of Victoria, Victoria,B.C., Canada


R.C. Singh Chandel

Executive Editor

Former Associate Professor & Head Mathematics

D.V. PG College, Orai-285001, U.P., India


Associate Editors

Dinesh K. Sharma

Professor Department of Business, Management and accounting

University of Maryland, USA


C.K. Jaggi

University of Delhi, New Delhi


Madhu Jain

IIT, Roorkee, Uttarakhand


Avanish Kumar

Bundelkhand University, Jhansi


Managing Editors

R.S.S. Chandel

Pleasanton, CA, USA

Hemant Kumar

D. A-V. College, Kanpur

Editorial Advisory Board

    1. Professor Mukti Acharya, Research Mentor, CHRIST, Bangalore- 560029, Karnataka, India, Email: mukti 1948@yahoo.com

    2. Professor S.C. Agrawal, Director, School of Basic Science, NH-58, Rohtak Road, Meerut, UP, India

    3. Professor M. Ahsanullah, Rider University, Lawrenceville Campus, Lawrencelle, NJ 08648, USA, Email : ahsan@rider.edu

    4. Professor C. Annamalai, IIT, Kharagpur, India, Email: annacraj@gmail.com; anna@iitkjp.ac.in

    5. Professor P. K. Banerji, Former Head, Department of Maths, J.N.V., University, Jodhpur, Rajasthan, India

    6. Professor B.S. Bhadauria, Balasaheb Bhimrao Ambedkar University, Lucknow

    7. Professor Raj Rani Bhargava (Retd., IIT Roorkee), 881 Shashtri Nagar, Dadabari Kota-324029, Rajasthan, India

    8. Professor R.G. Buschman, Former University of Wyoming, USA

    9. Professor A. Carbon, Universita Degli Studi Della Calbria 87036, Arcavacata , Di Rende (Cosenza), Italy

    10. Professor S.R. Chakravarthy, Department of Industrial and Manufacturing Engineering and Mathematics, Kettering University, Flint, MI 48504, USA, Email: schakrav@kettering.edu

    11. Professor Peeyush Chandra, Former Head Maths Department, IIT, Kanpur, India

    12. Professor P. Chaturani (Retd.), IIT, Powai, Mumbai-400076, India, Email: pcchaturani@yahoo.com

    13. Professor R.C. Chaudhary, Director, Yagvalakya Institute of Technology, Sitapura, Jaipur, India

    14. Professor N.E. Cho, Department of Applied Mathematics, Pukyong National University, Busa, 608-737, Korea

    15. Professor B.K. Dass, Department of Mathematics, Delhi University, Delhi, India

    16. Professor R.K. Datta, New Delhi, India

    17. Professor S.K. Datta, University of Kalyani, Nadia, W.B., India, Email: sanjibdatta05@gmail.com

    18. Professor G. Dattoli, Centro Richerche Frascati Via Enrico Fermi 45, 00044, Frascati, Rome, Italy

    19. Professor Maslina Darus, University Kebangsaan, Malaysia, Banji, 43600, Selangora, Ehsen, Malaysia

    20. Professor U.C. De, Emeritus Professor, Department of Mathematics, Calcutta University, Kolkata, West Bengal, Email: uc_de@yahoo.com

    21. Professor U.C. Gairola, H.N.B. Garhwal University, Pauri Campus, Pauri

    22. Professor B.M. Golam Kibria, Department of Mathematics and Statistics, Florida International University, FIU, Miami, USA, Email: kibriag@fiu.edu

    23. Professor D.S. Hooda, Former Dean(R) and Hod, Mathematics, JUET, Guna, MP, India

    24. Professor M.C. Joshi, Head Maths Department, DBS Campus Kumayun Univ., Nainital, Uttarakhand, India

    25. Professor Per W. Karlsson, Technical University of Denmark, Lyngby, Denmark

    26. Professor Karmeshu, School of Computer and System Sciences, JNU, New Delhi, India

    27. Professor V.K. Katiyar, Department of Mathematics, IIT Roorkee, Uttarakhand , India

    28. Professor Pranesh Kumar, Department of Mathematics and Statistics, University of Northern British Columbia, B.C., Canada

    29. Professor Santosh Kumar, Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania

    30. Professor J. Matkowski, Faculty of Mathematics, Computer Science and Economics, University of Zielona Gora, Poland

    31. Professor S.A. Mohiuddine, Kingdom of Saudi Arabia

    32. Professor M.N. Mehta, S.V. National Institute of Technology, Surat, Gujrat, India

    33. Professor G.V. Milanovic, University of NIS, P.O. Box 731800 NIS, Serbia and Montenegro, Yougoslavia

    34. Professor R.B. Mishra, Former Vice-Chancellor, RML University, Faizabad, UP, India

    35. Professor V.N. Mishra, Head, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, MP - 484887, Email: vishnunarayanmishra@gmail.com

    36. Professor S. Owa, Kinki University, Higashi, Osaka, Japan

    37. Professor K.R. Pardasani, Head Department of Mathematics and MCA, MANIT, Bhopal , MP, India

    38. Professor M.A. Pathan, Ex Chairman, Department of Mathematics, AMU, Aligarh, UP, India

    39. Professor B.E. Rhoades, Indiana University, Bloomington, USA

    40. Professor P.E. Ricci, Rome University, "La Sapienza", Faculty of Science(Retd.)and, UniNettuno Telematic University, Roma, Italy

    41. Professor D. Roux, Universita Degli Studi Di Milano-Biocca Degli, Archimbobdi 8 Milano, Italy

    42. Professor V.P. Saxena, Former Vice-Chancellor, Jiwaji University, Gwalior, MP, India

    43. Professor M. Shakil, Miami Dade College, Hialeah, FL 33012, USA

    44. Professor G.C. Sharma, Former Director, Basic Institute of Sciences, Khandari, Agra, UP, India

    45. Professor S.P. Sharma, Former Head, Department of Mathematics, IIT, Roorkee, India

    46. Professor Dinesh Singh, Former Vice Chancellor, Delhi University, Delhi, India

    47. Professor A.P. Singh, Central University of Rajasthan, Kishangarh, Ajmer, Rajasthan, India

    48. Professor Dashrath Singh, Ahmadu Bello University, Zaria, Nigeria, (Now residing in USA)

    49. Professor J.N. Singh, Department of Mathematics and Computer Science, Barry University, Miami Shores, FL-33161, USA

    50. Professor Tarkeshwar Singh, BITS , Pilani (Goa Campus), India

    51. Professor Rekha Srivastava, University of Victoria, Victoria, B.C., Canada

    52. Professor G.K. Vishwakarma, IIT, Dhanbad, India, Email: vishwagk@rediffmail.com


Vijñāna Parishad of India (VPI) has been publishing research journal Jñānābha since 1971.


Jñānābha was published once a year until 2016. From Vol.47 (2017), the periodicity of Jñānābha has been changed from Annual to Bi-Annual viz Jñānābha, Vol.47 No.1, June (2017), Jñānābha, Vol.47, No.2, December (2017).


APC is no longer required for publication in 'Jñānābha'.


The online version (PDF Format) is available free to everyone for personal use.

Starting with Vol.47 the price per printed volume is Rs.1,000.00 (or USD 50.00). Individual members of Vijñāna Parishad of India are entitled to free subscription to the current issues of this journal. Back volumes are available at special price. Payments of dues by cheques must include appropriate bank charges. Click here for online payment details.


The mathematical content of this journal is reviewed/indexed among others by zbMATH Zentralblatt für Mathematik (Germany)

It is indexed in Indian Citation Index, Google Scholar.

Jñānābha is included in Serials covered by Zentralblatt für Mathematik, Romanian Unit


Papers intended for publication in this journal should be written in Hindi or English. Manuscripts soft copy typed in MS Word/LaTeX (preferably in LaTeX), mentioning 2010 Mathematics Subject Classification, Keywords, and author’s postal and e-mail addresses on front page strictly in the format of 'Jñānābha', may be submitted via email to either of the Editors.

The submission of the paper implies the author's assurance the paper that has not been widely circulated, copyrighted, published or submitted for publication elsewhere.

Authors should submit only neatly (and carefully) typewritten and thoroughly checked manuscripts employing accepted conventions of references, notations, displays, etc. All typescripts not in a format suitable for publication in the journal will be returned unrefereed.

LaTeX Template:

LaTex template is available here (PDF Template) to facilitate adherence to Jñānābha publication standards.


There are no publication charges to publish any article in Jñānābha.

It is mandatory for every author to be a member of 'Vijñāna Parishad of India' in good standing at the time of publishing any paper.

Digital Object Identifier (DOI) Charges per article: Rs. 300 (for Indian authors), $5 (for foreign authors)


The executive editor reads all submitted manuscripts. Only those papers that meet our standards are sent to members of the Editorial Board for formal review. Those papers judged by the executive editor to be of insufficient general interest or otherwise inappropriate are rejected promptly without external review. These decisions are based on informal advice from experts in the field.

Manuscripts deemed suitable as per our standards are sent for formal review to two to three editorial board mebers. Reviewers promptly provide their review comments and editors then make a decision from one of the following options:

  • Accept: with or without revisions

  • Revise and Accept: Invite the authors to revise their manuscript to address specific concerns before a final decision is reached

  • Reject: but indicate to the authors that further work might justify a resubmission

  • Reject outright: typically on the grounds of specialist interest, lack of novelty, insufficient conceptual advance and/or interpretational problems


Members on Editorial Board are responsible to review the papers of their field or to get reviewed by other suitable reviewers of their field that the paper is original and publishable in any standard International Journal and is strictly in the format of Jñānābha having correct language and proper methodology.


Each Author is responsible for adhering to Ethics policies of the journal as mentioned below:

  • Authorship of the paper: Authorship should be limited to those who have made a significant contribution to the paper.

  • Originality and plagiarism: The work should be entirely original, and if the authors have used the work of others, they should appropriately cite it.

  • Multiple, redundant or concurrent publication: An author should not publish manuscripts describing the same research in any other journal.

  • Acknowledgment of sources: Proper acknowledgment should be given to sources used to support the information in the paper.

  • Fundamental errors in published works: When an author discovers a significant error or inaccuracy in his/her published work, the author must promptly notify the journal editor and cooperate with the editor to retract or correct the paper.

All communications regarding subscriptions, an order of back volumes, membership of Vijñāna Parishad of India, change of address, etc. and all books for review, should be addressed to:

The Secretary

Vijñāna Parishad of India

D.V. Postgraduate College, Orai- 285001, UP, India

E-Mail: rc_chandel@yahoo.com

Jñānābha - Vijñāna Parishad of India