Analysis of a fractional order epidemiological model for tuberculosis transmission with vaccination and reinfection. [PDF]
Nandi TR, Saha AK, Roy S.
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Hybrid fixed point theorems of graphic contractions with applications. [PDF]
Jiddah JA +4 more
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On modified Mittag-Leffler coupled hybrid fractional system constrained by Dhage hybrid fixed point in Banach algebra. [PDF]
Almalahi MA +5 more
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Exploration of Ulam-Hyers stability for a system of fractional integro
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Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation
Using the $ψ-$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
J Vanterler da C Sousa +1 more
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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‐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.
Djalal Boucenna +3 more
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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 stability of Caputo fractional difference equations
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Churong Chen, Martin Bohner, Baoguo Jia
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The authors analyze an integro-differential equation of Volterra-Fredholm type with delay. The Banach contraction principle is used to deduce sufficient conditions for the existence and uniqueness of the solution, as well as to study Ulam-Hyers-Rassias and Ulam-Hyers stabilities.
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