Approximations to the solution of quadratic fractional integral equation (QFIE) with generalized Mittag-Leffler Q function
Abstract
In this paper, we will find the solution to the quadratic fractional integral equation involving the Q function which is the generalization of Mittag-Leffler function with the help of forming the sequence of solutions converging to the solution of the fractional integral equation involving the Q function. We will study in this paper the existence and convergence of a nonlinear quadratic fractional integral equation with the new Q function which is the generalization of Mittag-Leffler function, on a closed and bounded interval of the real line with the help of some conditions.
Copyright © 2021 Bhausaheb R. Sontakke, Sandeep D. Patil, Mohammed Mazhar Ul Haque. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
B. R. Sontakke, S. D. Patil, M. M. Ul Haque, Approximations to the solution of quadratic fractional integral equation (QFIE) with generalized Mittag-Leffler Q function, J. Math. Comput. Sci. 11 (2021), 6090–6104. https://doi.org/10.28919/jmcs/5928
BibTeX
@article{Sontakke2021,
author = {Sontakke, Bhausaheb R. and Patil, Sandeep D. and Ul Haque, Mohammed Mazhar},
title = {Approximations to the solution of quadratic fractional integral equation (QFIE) with generalized Mittag-Leffler Q function},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6090--6104},
doi = {10.28919/jmcs/5928}
}