Turkish Journal of Mathematics
Article Title
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
