"A fully Hadamard and Erdelyi-Kober-type integral boundary value proble" by FATIMA ZOHRA BERRABAH, BENAOUDA HEDIA et al.

Turkish Journal of Mathematics

Article Title

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.

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

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