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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.