Existence and uniqueness of solutions for nonlinear fractional integrodifferential equations with non-local boundary conditions

S. Dhanalakshmi; M. Vinitha

doi:10.26637/MJM0704/0021

Abstract

In this paper we study on existence of solutions for a nonlinear fractional integrodifferential equations with
nonlocal boundary conditions by using Krasnaoselskii’s fixed point theorem and Schaefer’s fixed point theorem and also we obtain uniqueness of solutions for the same problem by using Banach contraction principle. Example is provided for illustrating our main results.

Keywords:

Fractional differential equations, Nonlocal boundary conditions, Caputo fractional derivative, Banach contraction principle, Krasnaoselskii’s fixed point theorem, Schaefer’s fixed point theorem

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. Dhanalakshmi Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641029, Tamil Nadu, India.
M. Vinitha Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641029, Tamil Nadu, India.

Pages: 759-766
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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