Ulam‐Hyers‐Rassias stability for generalized fractional differential equations | Zendy

Boucenna Djalal | Zendy; Ben Makhlouf Abdellatif | Zendy; Elhady Elsayed | Zendy; Hammami Mohamed Ali | Zendy

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Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Author(s) -

Boucenna Djalal,

Ben Makhlouf Abdellatif,

Elhady Elsayed,

Hammami Mohamed Ali

Publication year - 2021

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.7406

Subject(s) - mathematics , uniqueness , gronwall's inequality , stability (learning theory) , nonlinear system , singularity , class (philosophy) , fractional calculus , mathematical analysis , inequality , pure mathematics , machine learning , computer science , physics , quantum mechanics , artificial intelligence

In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.

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