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Article Dans Une Revue Communications in Mathematics Année : 2019

New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative

Yacine Arioua
  • Fonction : Auteur correspondant
Maria Titraoui
  • Fonction : Auteur

Résumé

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.
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hal-03664967 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Yacine Arioua, Maria Titraoui. New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative. Communications in Mathematics, 2019, Volume 27 (2019), Issue 2 (2), pp.113 - 141. ⟨10.2478/cm-2019-0011⟩. ⟨hal-03664967⟩
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