Tbilisi Mathematical Journal

On the solutions of partial integrodifferential equations of fractional order

Aruchamy Akilandeeswari, Krishnan Balachandran, Margarita Rivero, and Juan J. Trujillo

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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.

Article information

Source
Tbilisi Math. J., Volume 10, Issue 1 (2017), 19-29.

Dates
Received: 29 March 2015
Accepted: 1 April 2016
First available in Project Euclid: 26 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300015

Digital Object Identifier
doi:10.1515/tmj-2017-0002

Mathematical Reviews number (MathSciNet)
MR3607264

Zentralblatt MATH identifier
1360.45008

Subjects
Primary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
Secondary: 45J05: Integro-ordinary differential equations [See also 34K05, 34K30, 47G20] 26A33: Fractional derivatives and integrals 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

Keywords
Existence Partial Integrodifferential equations Fractional derivatives Fixed point theorem

Citation

Akilandeeswari, Aruchamy; Balachandran, Krishnan; Rivero, Margarita; Trujillo, Juan J. On the solutions of partial integrodifferential equations of fractional order. Tbilisi Math. J. 10 (2017), no. 1, 19--29. doi:10.1515/tmj-2017-0002. https://projecteuclid.org/euclid.tbilisi/1527300015


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