<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.</p></abstract>

In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.

A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative

Department of Mathematics, Faculty of Science

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results...

A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative

Published Online: Dec 21, 2019

Page range: 71 - 84

Received: Oct 01, 2017

Accepted: May 08, 2019

DOI: https://doi.org/10.2478/gm-2019-0007

Keywords
Fractional integro-differential equations, Hadamard fractional derivative, Hilfer fractional derivative, Solution, Ulam-Hyers stablity

© 2019 D. Vivek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative

Published Online: Dec 21, 2019

Page range: 71 - 84

Received: Oct 01, 2017

Accepted: May 08, 2019

DOI: https://doi.org/10.2478/gm-2019-0007

KeywordsFractional integro-differential equations, Hadamard fractional derivative, Hilfer fractional derivative, Solution, Ulam-Hyers stablity

© 2019 D. Vivek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fractional integro-differential equations, Hadamard fractional derivative, Hilfer fractional derivative, Solution, Ulam-Hyers stablity