Results 21 to 30 of about 338,032 (215)
Mathematics, 2021 The fractional generalization of the Ambartsumian delay equation with Caputo’s fractional derivative is considered. The Ambartsumian delay equation is very difficult to be solved neither in the case of ordinary derivatives nor in the case of fractional ...
Weam Alharbi, Snezhana Hristova
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A Fractional Complex Permittivity Model of Media with Dielectric Relaxation
Fractal and Fractional, 2017 In this work, we propose a fractional complex permittivity model of dielectric media with memory. Debye’s generalized equation, expressed in terms of the phenomenological coefficients, is replaced with the corresponding differential equation by applying ...
Armando Ciancio +1 more
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Existence results in Banach space for a nonlinear impulsive system
Advances in Difference Equations, 2019 We deal with three important aspects of a generalized impulsive fractional order differential equation (DE) involving a nonlinear p-Laplacian operator: the existence of a solution, the uniqueness and the Hyers–Ulam stability.
Hasib Khan +3 more
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Journal of Function Spaces, 2022 In this work, an algorithm for finding numerical solutions of linear fractional delay-integro-differential equations (LFDIDEs) of variable-order (VO) is introduced.
Kamal R. Raslan +4 more
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On Fractional SIRC Model with Salmonella Bacterial Infection
Abstract and Applied Analysis, 2014 We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions.
Fathalla A. Rihan +3 more
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Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay [PDF]
Journal of Applied Mathematics, 2013 This paper is concerned with the reachability and controllability of fractional singular dynamical systems with control delay. The factors of such systems including the Caputo’s fractional derivative, control delay, and singular coefficient matrix are ...
Hai Zhang, Jinde Cao, Wei Jiang
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Results in Physics, 2021 The generalized ZK-Burgers equation has nonlinear characteristics of the governing equation and helps to understand nonlinear waves in many fluid problems of plasma mediums.
Naeem Faraz +4 more
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Series solution to fractional contact problem using Caputo’s derivative
Open Physics, 2021 In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs).
Rafiq Muhammad +7 more
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Hilbert solution, iterative algorithms, convergence theoretical results, and error bound for the fractional Langevin model arising in fluids with Caputo’s independent derivative [PDF]
, 2022 Studying and analyzing the random motion of a particle immersed in a liquid represented in the Langevin fractional model by Caputo’s independent derivative is one of the aims of applied physics.
Omar Abu Arqub +2 more
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Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative [PDF]
, 2019 In this article, fractional integro-differential equation (FIDE) of Fredholm type involving right-sided Caputo’s fractional derivative with multi-fractional orders is considered.
Phang, Chang +6 more
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