The Introduction of the Special Issue

Recent trends in fractional calculus operators and their applications in fractional differential equations. 

The Research Scope of the Special Issue

 ·Fractional calculus

·Special function

·Fractional differential equations

·Mathematical modeling

·Applied mathematics


The Article Title of the Special Issue

1:Fractional calculus

2:Special function

3:Fractional kinetic equations

4:Fractional calculus operators

5:Applications of fractional calculus

6:Special functions in applied mathematics

7:Fractional differential equations


Submission guidelines

All papers should be submitted via the Probe - Mathematics and Mathematical Sciences submission system:

Submitted articles should not be published or under review elsewhere. All submissions will be subject to the journal’s standard peer review process. Criteria for acceptance include originality, contribution, scientific merit and relevance to the field of interest of the Special Issue.


Important Dates

Paper Submission Due: November 30 , 2019


The Lead Guest Editor

Dinesh Kuma

Born on 26th May 1988 at Anupgarh, Sri Ganganagar, Rajasthan, Dr. Dinesh obtained B.Sc. (PCM) (2005), M.Sc. (Mathematics) (2007), M.Phil. (Mathematics) (2008), and Ph.D. (Mathematics) (2013) from Jai Narain Vyas University, Jodhpur. Dr. D. Kumar has experience of Post Doctorate (Dec. 2014- Nov. 2017) from National Board of Higher Mathematics (NBHM), Department of Atomic Energy, Government of India, Mumbai.

Dr. Dinesh served as Guest Faculty (July 2015- March 2017) at Mathematics department in Jai Narain Vyas University, Jodhpur; Assistant Professor of Mathematics (July 2013- June 2014) at Department of Applied Sciences in Pratap University, Jaipur.

 He joined as Assistant Professor (Mathematics) in February, 2018, Collage of Agriculture-Sumerpur, Agriculture University Jodhpur. Dr. Dinesh has made outstanding research contribution in the field of Fractional Calculus, Integral Transforms, q-Fractional Calculus, Mathematical Physics, Differential Equation, Special Functions, Basic Hypergeometric functions, and Kinetic and Reaction-Diffusion Equations. He has published 69 research papers in National and International peer reviewed journals so far, and publish one reference book with international publisher. Dr. D. Kumar has presented 11 papers in symposia/seminars/conferences. He has given 1 invited talk in an International conference (2018) and chaired a technical session in the international conference (2018).

He is having life membership of professional societies viz; Rajasthan Academy of Physical Sciences, Rajasthan Ganita Parishad, Ajmer, and Indian Academy of Mathematics. He has been appointed as Joint Secretary of Rajasthan Ganita Parishad, Ajmer for the year 2018-19. He has been served as lead guest editor for the Pure and Applied Mathematics Journal, Special Issue on “Recent Trends in fractional Calculus and their Applications”, 2014. He is Editorial Board Member of 17 International and National indexed Journals, some of them indexed in SCI and Scopus. He is also an active reviewer for more than 40 International/National indexed Journals.