Results 31 to 40 of about 2,159,027 (204)
Advances in Difference Equations, 2021 In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon +2 more
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Ulam-Hyers-Rassias stability of pseudoparabolic partial differential equations [PDF]
Carpathian Journal of Mathematics, 2015 The aim of this paper is to give some types of Ulam stability for a pseudoparabolic partial differential equation. In this case we consider Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. We investigate some new applications of the Gronwall lemmas to the Ulam stability of a nonlinear pseudoparabolic partial differential equations.
NICOLAIE LUNGU, SORINA ANAMARIA CIPLEA
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Journal of Function Spaces, 2022 Fractional derivatives are used to model the transmission of many real world problems like COVID-19. It is always hard to find analytical solutions for such models. Thus, approximate solutions are of interest in many interesting applications. Stability theory introduces such approximate solutions using some conditions.
El-sayed El-hady +3 more
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Advances in Difference Equations, 2019 In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana +2 more
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Advances in Difference Equations, 2020 Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali +5 more
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Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses
Filomat, 2021 In this paper, we investigate the existence and Ulam-Hyers-Rassias stability of solutions for stochastic differential equations with random impulses. Based on the Krasnoselskii?s fixed point theorem, we perform investigations on the existence of solutions to the system of stochastic differential equations with random impulses.
Wenxuan Lang +3 more
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Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty [PDF]
Advances in Difference Equations, 2020 AbstractWe consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered nonlinear stochastic fractional differential equations.
Reza Chaharpashlou +2 more
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Advances in Difference Equations, 2020 This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada +3 more
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Complexity, 2021 In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo +4 more
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Axioms, 2022 A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
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