Yacine Arioua ; Maria Titraoui
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New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative
Authors: Yacine Arioua ; Maria Titraoui
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Yacine Arioua;Maria Titraoui
In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.
Bouteraa, N.; Inc, Mustafa; Hashemi, M.S.; Benaicha, S., 2022, Study On The Existence And Nonexistence Of Solutions For A Class Of Nonlinear ErdĂŠlyi-Kober Type Fractional Differential Equation On Unbounded Domain, Journal Of Geometry And Physics, 178, pp. 104546, 10.1016/j.geomphys.2022.104546.