A fully Hadamard and Erdelyi-Kober-type integral boundary value problem of acoupled system of implicit differential equations

Authors

FATIMA ZOHRA BERRABAH
BENAOUDA HEDIA
JOHNNY HENDERSON

DOI

10.3906/mat-1812-46

Abstract

In this article, we give sufficient conditions for the existence of solutions for a new coupled system of second-order implicit differential equations with Hadamard and Erdelyi-Kober fractional integral boundary conditions and nonlocal conditions at the boundaries in Banach space. The main result is based on a Mönch fixed point theorem combined with the measure of noncompactness of Kuratowski; an example is given to illustrate our approach.

Keywords

Hadamard fractional derivative, Erdelyi--Kober fractional integral, Caputo fractional derivative, measure of noncompactness of Kuratowski, Mönch fixed point theorem, coupled system of differential equations

First Page

1308

Last Page

1329

Recommended Citation

BERRABAH, FATIMA ZOHRA; HEDIA, BENAOUDA; and HENDERSON, JOHNNY (2019) "A fully Hadamard and Erdelyi-Kober-type integral boundary value problem of acoupled system of implicit differential equations," Turkish Journal of Mathematics: Vol. 43: No. 3, Article 18. https://doi.org/10.3906/mat-1812-46
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/18