<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

Pubblicato online: 21 dic 2019

Pagine: 71 - 84

Ricevuto: 01 ott 2017

Accettato: 08 mag 2019

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

Parole chiave
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

Pubblicato online: 21 dic 2019

Pagine: 71 - 84

Ricevuto: 01 ott 2017

Accettato: 08 mag 2019

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

Parole chiaveFractional 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.

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