Open Access
Jan 2017 On the solutions of partial integrodifferential equations of fractional order
Aruchamy Akilandeeswari, Krishnan Balachandran, Margarita Rivero, Juan J. Trujillo
Author Affiliations +
Tbilisi Math. J. 10(1): 19-29 (Jan 2017). DOI: 10.1515/tmj-2017-0002

Abstract

The main purpose of this paper is to study the existence of solutions for the nonlinear fractional partial integrodifferential equations with Dirichlet boundary condition. Under suitable assumption the results are established by using the Leray-Schauder fixed point theorem and Arzela-Ascoli theorem. An example is provided to illustrate the main result.

Citation

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Aruchamy Akilandeeswari. Krishnan Balachandran. Margarita Rivero. Juan J. Trujillo. "On the solutions of partial integrodifferential equations of fractional order." Tbilisi Math. J. 10 (1) 19 - 29, Jan 2017. https://doi.org/10.1515/tmj-2017-0002

Information

Received: 29 March 2015; Accepted: 1 April 2016; Published: Jan 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1360.45008
MathSciNet: MR3607264
Digital Object Identifier: 10.1515/tmj-2017-0002

Subjects:
Primary: 34A12
Secondary: 26A33 , 45J05 , 47H10

Keywords: existence , fixed point Theorem , fractional derivatives , Partial Integrodifferential equations

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 1 • Jan 2017
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