Next Article in Journal
Applying Computer Algebra Systems in Approximating the Trigonometric Functions
Previous Article in Journal
Exact Solutions of Non-Linear Evolution Models in Physics and Biosciences Using the Hyperbolic Tangent Method
Article Menu
Issue 3 (September) cover image

Export Article

Open AccessArticle
Math. Comput. Appl. 2018, 23(3), 36; https://doi.org/10.3390/mca23030036

Existence of Solutions for Fractional Integro-Differential Equations with Non-Local Boundary Conditions

Department of Mathematics, Lorestan University, Khorramabad 68137-17133, Iran
*
Author to whom correspondence should be addressed.
Received: 31 May 2018 / Revised: 28 June 2018 / Accepted: 6 July 2018 / Published: 14 July 2018
Full-Text   |   PDF [734 KB, uploaded 14 July 2018]

Abstract

In this paper, we study the existence of solutions for a new class of boundary value problems of non-linear fractional integro-differential equations. The existence result is obtained with the aid of Schauder type fixed point theorem while the uniqueness of solution is established by means of contraction mapping principle. Then, we present some examples to illustrate our results. View Full-Text
Keywords: fractional differential equations; Caputo fractional derivative; fixed point theorem fractional differential equations; Caputo fractional derivative; fixed point theorem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Bazgir, H.; Ghazanfari, B. Existence of Solutions for Fractional Integro-Differential Equations with Non-Local Boundary Conditions. Math. Comput. Appl. 2018, 23, 36.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top