Results 31 to 40 of about 11,783 (202)
Basic Results for Sequential Caputo Fractional Differential Equations [PDF]
Mathematics, 2015 We have developed a representation form for the linear fractional differential equation of order q when 0 < q < 1, with variable coefficients. We have also obtained a closed form of the solution for sequential Caputo fractional differential equation of order 2q, with initial and boundary conditions, for 0 < 2q < 1.
Bhuvaneswari Sambandham +1 more
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Successive Approximations for Caputo-Fabrizio Fractional Differential Equations
Tatra Mountains Mathematical Publications, 2022 Abstract In this work we deal with a uniqueness result of solutions for a class of fractional differential equations involving the Caputo-Fabrizio derivative. We provide a result on the global convergence of successive approximations.
Bachir, Fatima Si +3 more
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Fox H-Functions in Self-Consistent Description of a Free-Electron Laser
Fractal and Fractional, 2021 A fractional calculus concept is considered in the framework of a Volterra type integro-differential equation, which is employed for the self-consistent description of the high-gain free-electron laser (FEL).
Alexander Iomin
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Caputo-Fabrizio fractional differential equations in Frechet spaces
SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020 This paper deals with some existence and uniqueness of solutions for a class of functional Caputo-Fabrizio fractional differential equations. Some applications are made of a generalization of the classical Darbo fixed point theorem for Frechet spaces associate with the concept of measure of noncompactness.
Abbas, Saïd +2 more
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Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order
Results in Physics, 2023 The current work analyzes the HIV/AIDS model under stochastic fractional differential equations in the Caputo sense. The articulation of the model both in integer and arbitrary order with stochastic differential equation are presented.
Zain Ul Abadin Zafar +6 more
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Approximation of Fractional Order Conflict-Controlled Systems [PDF]
, 2018 We consider a conflict-controlled dynamical system described by a nonlinear ordinary fractional differential equation with the Caputo derivative of an order $\alpha \in (0, 1).$ Basing on the finite-difference Gr\"{u}nwald-Letnikov formulas, we propose ...
Gomoyunov, Mikhail
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Foundations, 2022 It is known that, from a modeling point of view, fractional dynamic equations are more suitable compared to integer derivative models. In fact, a fractional dynamic equation is referred to as an equation with memory. To demonstrate that the fractional dynamic model is better than the corresponding integer model, we need to compute the solutions of the ...
Aghalaya S. Vatsala +2 more
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Caputo–Fabrizio fractional differential equations with non instantaneous impulses
Rendiconti del Circolo Matematico di Palermo Series 2, 2021 <abstract><p>The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness.
Saı̈d Abbas +2 more
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Processing Fractional Differential Equations Using ψ-Caputo Derivative
Symmetry, 2023 Recently, many scientists have studied a wide range of strategies for solving characteristic types of symmetric differential equations, including symmetric fractional differential equations (FDEs). In our manuscript, we obtained sufficient conditions to prove the existence and uniqueness of solutions (EUS) for FDEs in the sense ψ-Caputo fractional ...
Mahrouz Tayeb +3 more
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Analytic Approach for Solving System of Fractional Differential Equations
Al-Mustansiriyah Journal of Science, 2021 In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional ...
Nabaa N Hasan, Zainab John
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