Results 21 to 30 of about 18,553 (218)
On a fractional differential equation with infinitely many solutions [PDF]
, 2012 We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Băleanu, Dumitru +2 more
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Axioms, 2020 The harvesting management is developed to protect the biological resources from over-exploitation such as harvesting and trapping. In this article, we consider a predator–prey interaction that follows the fractional-order Rosenzweig–MacArthur model where
Hasan S. Panigoro +3 more
doaj +1 more source
On the new properties of Caputo–Fabrizio operator and its application in deriving shifted Legendre operational matrix [PDF]
, 2018 In this paper, we study the recently introduced Caputo and Fabrizio operator, which this new operator was derived by replacing the singular kernel in the classical Caputo derivative with the regular kernel.
Chang, Phang +3 more
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Stochastic applications of Caputo-type convolution operators with nonsingular kernels [PDF]
Stochastic Analysis and Applications, 2022 We consider here convolution operators, in the Caputo sense, with non-singular kernels. We prove that the solutions to some integro-differential equations with such operators (acting on the space variable) coincide with the transition densities of a particular class of L vy subordinators (i.e. compound Poisson processes with non-negative jumps).
Beghin L., Caputo M.
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Fractal and Fractional, 2023 In this article, we study the fractional SIR epidemic model with the Atangana–Baleanu–Caputo fractional operator. We explore the properties and applicability of the ZZ transformation on the Atangana–Baleanu–Caputo fractional operator as the ZZ transform ...
Lakhdar Riabi +2 more
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Certain fractional inequalities via the Caputo Fabrizio operator
Filomat, 2023 The Caputo Fabrizio fractional integral operator is one of the key concepts in fractional calculus. It is involved in many concrete and practical issues. In the present study, we have discussed some novel ideas to fractional Hermite-Hadamard inequalities within a Caputo Fabrizio fractional integral framework.
Qaisar, Shahid +2 more
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On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series
Advances in Difference Equations, 2020 In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar +2 more
doaj +1 more source
Scientific Reports, 2021 This article focused on the comparative study of entropy generation for natural convection flow of the newly proportional Caputo hybrid and Atangana baleanu fractional derivative.
Dolat khan +2 more
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AIMS Mathematics, 2022 In this paper we consider fractional-order mathematical model describing the spread of the smoking model in the sense of Caputo operator with tobacco in the form of snuffing.
Peijiang Liu +4 more
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Mathematical modeling of pine wilt disease with Caputo fractional operator
Chaos, Solitons & Fractals, 2021 Abstract In this work, we investigate the transmission dynamics of pine wilt disease infection and developed a new model utilizing Caputo fractional-order derivative. Moreover, with the use of fixed point theorem, the existence and uniqueness of the pine wilt disease model are obtained under Caputo operator. Using forward normalized sensitivity index,
Yusuf, Abdullahi +4 more
openaire +2 more sources