Existence and uniqueness results of boundary value problems for nonlinear fractional differential equations involving ψ−Caputo-type fractional derivatives
1Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco 2Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco 3Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 1, pp. 23-33
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Ali El Mfadel; Said Melliani; M'hamed Elomari; Ali El Mfadel; Said Melliani; M'hamed Elomari. Existence and uniqueness results of boundary value problems for nonlinear fractional differential equations involving ψ−Caputo-type fractional derivatives. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 1, pp. 23-33. http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a2/
@article{AMUC_2023_92_1_a2,
author = {Ali El Mfadel and Said Melliani and M'hamed Elomari and Ali El Mfadel and Said Melliani and M'hamed Elomari},
title = { Existence and uniqueness results of boundary value problems for nonlinear fractional differential equations involving {\ensuremath{\psi}\ensuremath{-}Caputo-type} fractional derivatives},
journal = {Acta mathematica Universitatis Comenianae},
pages = {23--33},
year = {2023},
volume = {92},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a2/}
}
TY - JOUR
AU - Ali El Mfadel
AU - Said Melliani
AU - M'hamed Elomari
AU - Ali El Mfadel
AU - Said Melliani
AU - M'hamed Elomari
TI - Existence and uniqueness results of boundary value problems for nonlinear fractional differential equations involving ψ−Caputo-type fractional derivatives
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 23
EP - 33
VL - 92
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a2/
ID - AMUC_2023_92_1_a2
ER -
%0 Journal Article
%A Ali El Mfadel
%A Said Melliani
%A M'hamed Elomari
%A Ali El Mfadel
%A Said Melliani
%A M'hamed Elomari
%T Existence and uniqueness results of boundary value problems for nonlinear fractional differential equations involving ψ−Caputo-type fractional derivatives
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 23-33
%V 92
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a2/
%F AMUC_2023_92_1_a2
The main crux of this manuscript is to establish some new sufficient conditions for the existence of solutions to a class of boundary value problem for nonlinear fractional differential equations with ψ−Caputo fractional derivatives of order $\beta\in(2,3)$. The proofs are based on some fixed point theorems and some basic concepts of ψ−fractional analysis. As application, several examples are given to illustrate our theoretical results.
