SOME RESULTS ON NONLINEAR MIXED FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
Keywords:
fractional mixed integrodifferential equation, existence and uniqueness of solution, fixed point theorem, integral inequality.DOI:
https://doi.org/10.17654/0974324322021Abstract
In this paper, we study the existence, uniqueness and other properties of solutions of fractional Volterra Fredholm integrodifferential equation involving Caputo fractional derivative of special class $n-1<\alpha \leq n, \quad n>1$. The result of existence and uniqueness is obtained with help of well known Banach contraction principle and the integral inequality which provides explicit bound on the unknown function. The obtained some results are illustrated through example.
Received: January 18, 2022
Accepted: April 25, 2022
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