On modified Mittag-Leffler coupled hybrid fractional system constrained by Dhage hybrid fixed point in Banach algebra. [PDF]
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Hybrid fixed point theorems of graphic contractions with applications. [PDF]
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Ulam–Hyers stability of fractional Langevin equations
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ulam–Hyers stability of pantograph fractional stochastic differential equations
Mathematical Methods in the Applied Sciences, 2022In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem (BFPT). We show the Ulam–Hyers stability (UHS) of PFSDE by the generalized Gronwall inequalities (GGI). We illustrate our results by two examples.
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Ulam‐Hyers‐Rassias stability for generalized fractional differential equations
Mathematical Methods in the Applied Sciences, 2021In 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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