Results 41 to 50 of about 1,540 (136)
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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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Results in Physics, 2022 This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George +4 more
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.Typhoid fever remains a major public health concern in many low‐ and middle‐income countries, where the co‐circulation of Salmonella Typhi and Salmonella Paratyphi, coupled with environmental contamination, sustains disease transmission. This study develops a data‐driven Caputo fractional‐order mathematical model to investigate the environmental co ...
Thadei Damas Sagamiko +2 more
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On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
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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
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.Dengue fever remains a major global public health challenge, driven by urbanization, climate change, and the complex dynamics of mosquito‐borne transmission. In this study, we propose a fractional‐order host‐vector compartmental model to capture the transmission dynamics of dengue, incorporating density‐dependent mosquito recruitment, personal ...
Thadei Damas Sagamiko +1 more
wiley +1 more source
Mathematics, 2021 In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear fractional integrodifferential equations (NLFIDEs) with nonlocal boundary conditions in Banach algebras. By employing advanced analytical techniques within the Banach algebra framework, we rigorously establish existence and uniqueness results and ...
Yahia Awad +4 more
wiley +1 more source
Exploring Ecological Dynamics and Bifurcation Structure of a Prey–Predator Model
Complexity, Volume 2026, Issue 1, 2026.The present work examines the dynamical features of a discrete‐time Rosenzweig–MacArthur predator–prey system in which the predation rate is modulated by prey density. Through a combination of theoretical derivations and computational experiments, we establish the occurrence of period‐doubling (PD) and Neimark–Sacker (NS) bifurcations, both of which ...
M. D. Mutakabbir Khan +3 more
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