Results 11 to 20 of about 11,783 (202)
Combined Liouville–Caputo Fractional Differential Equation
Fractal and Fractional, 2023 This paper studies a fractional differential equation combined with a Liouville–Caputo fractional differential operator, namely, LCDηβ,γQ(t)=λϑ(t,Q(t)),t∈[c,d],β,γ∈(0,1],η∈[0,1], where Q(c)=qc is a bounded and non-negative initial value.
McSylvester Ejighikeme Omaba +4 more
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DIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE
Mathematical Modelling and Analysis, 2021 In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative. The Cauchy problem for fractional differential equations with this type of derivative is discussed and some existence and ...
Medveď, Milan, Brestovanská, Eva
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On Caputo–Katugampola Fractional Stochastic Differential Equation
Mathematics, 2022 We consider the following stochastic fractional differential equation CD0+α,ρφ(t)=κϑ(t,φ(t))w˙(t), 0<t≤T, where φ(0)=φ0 is the initial function, CD0+α,ρ is the Caputo–Katugampola fractional differential operator of orders 0<α≤1,ρ>0, the function ϑ:[0,T]×R→R is Lipschitz continuous on the second variable, w˙(t) denotes the generalized ...
McSylvester Ejighikeme Omaba +1 more
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Novel Stability Results for Caputo Fractional Differential Equations [PDF]
Mathematical Problems in Engineering, 2021 Modelling some diseases with large mortality rates worldwide, such as COVID-19 and cancer is crucial. Fractional differential equations are being extensively used in such modelling stages. However, exact analytical solutions for the solutions of such kind of equations are not reachable.
Abdellatif Ben Makhlouf +1 more
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On Euler methods for Caputo fractional differential equations
Archivum Mathematicum, 2023 Summary: Numerical methods for fractional differential equations have specific properties with respect to the ones for ordinary differential equations. The paper discusses Euler methods for Caputo differential equation initial value problem. The common properties of the methods are stated and demonstrated by several numerical experiments.
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An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations
Journal of Mathematics, 2021 In this paper, we want to establish an averaging principle for Mckean–Vlasov-type Caputo fractional stochastic differential equations with Brownian motion.
Weifeng Wang +3 more
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Abstract differential equations and Caputo fractional derivative
Semigroup Forum, 2022 In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order $α\in(0,1]$, and discuss the continuity of the respective solutions regarding the parameter $α$. I also present a study about the continuity of the Mittag-Leffler families of operators (for $α\in(0,1]$), induced by sectorial operators.
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Non-Instantaneous Impulses in Caputo Fractional Differential Equations [PDF]
Fractional Calculus and Applied Analysis, 2017 Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo fractional differential equations. In the literature there are two approaches in interpretation of the
Agarwal, Ravi +2 more
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Journal of Function Spaces, 2022 In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform.
Arunachalam Selvam +3 more
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The Cauchy problems for q-difference equations with the Caputo fractional derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2022 The fractional differential equations play important roles due to their numerous applications and also for the important role they play not only in mathematics but also in other sciences.
S. Shaimardan +2 more
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