Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions

Renu Chaudhary; Dwijendra N Pandey

doi:10.26637/mjm403/007

Abstract

In this paper, we shall study a nonlinear fractional differential equation with nonlocal integral boundary conditions. We have used fixed point theorems and Laray-Schauder nonlinear alternative to study the existence and uniqueness of solutions to the given equation. In the last, we have given examples to illustrate the applications of the abstract results.

Keywords:

Fractional differential equations, Fixed point theorems, Laray-Schauder nonlinear alternative, Nonlocal boundary conditions

Mathematics Subject Classification:

34A08, 34B10, 34G20

Authors Imprint References Funding Related Articles Downloads

Renu Chaudhary Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India. https://orcid.org/0000-0003-3721-3395
Dwijendra N Pandey Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India. https://orcid.org/0000-0001-8542-7094

Pages: 392-403
Date Published: 01-07-2016
Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

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The authors would like to thank the editor and the reviewers for their valuable comments and suggestions. The work of the first author is supported by the “Ministry of Human Resource and Development, India under grant number:MHR-02-23-200-44”.