Results 61 to 70 of about 5,086 (192)
Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Advances in Difference Equations, 2018 This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan +3 more
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Study of implicit delay fractional differential equations under anti-periodic boundary conditions
Advances in Difference Equations, 2020 This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali +2 more
doaj +1 more source
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman +4 more
wiley +1 more source
Locally Bounded Second κ‐Variation Solution of an Integro‐Differential Equation With Infinite Delay
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This work presents conditions under which the Volterra integral equation of the second kind admits a unique solution in the class of locally bounded second κ‐variation functions on [0, +∞). Our approach relies on successive Picard iterations to obtain such a solution on a compact interval, and then to prolong it to [0, +∞).
Luz Elimar Marchan +3 more
wiley +1 more source
Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations
Mathematics, 2022 In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian +2 more
doaj +1 more source
Ulam-Hyers stability for partial differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Summary: Using the weakly Picard operator technique, we will present Ulam-Hyers stability results for integral inclusions of Fredholm and Volterra type and for the Darboux problem associated to a partial differential inclusion.
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Existence and Stability of Ulam–Hyers for Neutral Stochastic Functional Differential Equations
Bulletin of the Iranian Mathematical Society, 2023 AbstractThe primary aim of this paper is to focus on the stability analysis of an advanced neural stochastic functional differential equation with finite delay driven by a fractional Brownian motion in a Hilbert space. We examine the existence and uniqueness of mild solution of $$ {\textrm{d}}\left[ {x}_{a}(s) + {\mathfrak {g}}(s, {x}_{a}(s - \omega (s)
Arunachalam Selvam +3 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit +5 more
wiley +1 more source
Mathematics, 2020 A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj +1 more source
Ulam‐Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk [PDF]
Abstract and Applied Analysis, 2012 We prove the Ulam‐Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non‐linear cases. The fractional operators are taken in sense of Srivastava‐Owa operators.
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