Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality

Document Type : Research Paper

Authors

1 Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India

2 Department of Mathematics, Karmaveer Bhaurao Patil College, Urun--Islampur, India

Abstract

In this article, we study some existence, uniqueness and Ulam type stability results for a class of boundary value problem for nonlinear fractional integro--differential equations with positive constant coefficient involving the Caputo fractional derivative. The main tools used in our analysis is based on Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. Finally, results are illustrated with suitable example.

Keywords