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   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.

fractional mixed integrodifferential equation, existence and uniqueness of solution, fixed point theorem, integral inequality.

Received: January 18, 2022; Accepted: April 25, 2022; Published: May 28, 2022

How to cite this article: H. L. Tidke, V. V. Kharat and G. N. More, Some results on nonlinear mixed fractional integrodifferential equations with nonlocal conditions, Advances in Differential Equations and Control Processes 28 (2022), 1-28. http://dx.doi.org/10.17654/0974324322021

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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