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On Tempered (κ, ψ)-Hilfer Fractional Boundary Value Problems

open access: yesPan-American Journal of Mathematics
Our research is primarily focused on applying the tempered (κ, ψ)-fractional operators to investigate the existence, uniqueness, and κ-Mittag-Leffler-Ulam-Hyers stability of a specific class of boundary value problems involving implicit nonlinear ...
Abdelkrim Salim   +2 more
doaj   +1 more source

Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

open access: yesResults in Nonlinear Analysis, 2019
In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’
Abdelouaheb Ardjouni, Ahcene Djoudi
doaj  

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