Iterative solution of quadratic fractional integral equation involving generalized Mittag Leffler function
Authors :
SAYYED JALIL 1 *, Mohammed Mazhar Ul Haque 2 and Md. Indraman Khan 3
Author Address :
1 Department of Mathematics , Hutatma Jaywantrao Patil Mahavidayalya, Himayatnagar, Nanded, M.S., India.
2 Department of Mathematics, Gramin College of Engineering, Vishnupuri, Nanded, Maharashtra, India.
3 Department of Mathematics, PETTIGREW College, Ukhrul, Manipur University, Manipur, India.
Abstract :
The present paper verifies and validates the factual and estimated outcomes of a certain quadratic fractional integral equation involving the generalized Mittag-Leffler function via algorithm that representatively embodies successive estimations under fragile partial fractional Lipschitz and compactness type circumstances. The paper also validate the existence and convergence of a nonlinear quadratic fractional integral equation with the generlized Mittag Leffler 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.
Keywords :
Quadratic fractional integral equation; Fractional derivatives and Integrals.
DOI :
Article Info :
Received : October 01, 2020; Accepted : December 10, 2020.
