43 citations · 71 across the 5 of their papers we have counts for
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Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space
Djalal Boucenna, Amar Chidouh, Delfim F. M. Torres
We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Usi…
Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
Amar Chidouh, Delfim F. M. Torres
We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities…
Linear and nonlinear fractional Voigt models
Amar Chidouh, Assia Guezane-Lakoud, Rachid Bebbouchi +2
We consider fractional generalizations of the ordinary differential equation that governs the creep phenomenon. Precisely, two Caputo fractional Voigt models are considered: a rheo…
A generalized Lyapunov's inequality for a fractional boundary value problem
Amar Chidouh, Delfim F. M. Torres
We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization…