Results 1 to 10 of about 3,823 (242)
Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator [PDF]
Frontiers in Physics, 2018 The study addresses the physical background and modeling of linear viscoelastic response functions and their reasonable relationships to the Caputo-Fabrizio fractional operator via the Prony (Dirichlet series) series decomposition.
Jordan Hristov
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator [PDF]
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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Three-Species Lotka-Volterra Model with Respect to Caputo and Caputo-Fabrizio Fractional Operators [PDF]
Symmetry, 2021 In this paper, we apply the concept of fractional calculus to study three-dimensional Lotka-Volterra differential equations. We incorporate the Caputo-Fabrizio fractional derivative into this model and investigate the existence of a solution. We discuss the uniqueness of the solution and determine under what conditions the model offers a unique ...
Moein Khalighi +3 more
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Partial Differential Equations in Applied Mathematics, 2022 In this work, rich complex dynamics are observed in new fractional-order hyperchaotic systems when employing a modified Caputo-operator based on the extended Gamma function. Thus, the new parameter of the extended Gamma function provides higher degree of
Ahmed Matouk
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On the sectorial property of the Caputo derivative operator [PDF]
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ito, K, Jin, B, Takeuchi, T
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Constrained Controllability of the h-Difference Fractional Control Systems with Caputo Type Operator [PDF]
Discrete Dynamics in Nature and Society, 2015 The problem of controllability to a given convex target set of linear fractional systems with h-difference fractional operator of Caputo type is studied. Necessary and sufficient conditions of controllability with constrained controllers for such systems
Ewa Pawluszewicz
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Fractal and Fractional, 2022 This paper studies the existence of extremal solutions for a nonlinear boundary value problem of Bagley–Torvik differential equations involving the Caputo–Fabrizio-type fractional differential operator with a non-singular kernel.
Haiyong Xu, Lihong Zhang, Guotao Wang
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On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator [PDF]
Abstract and Applied Analysis, 2013 We consider the model of a Caputo -fractional boundary value problem involving -Laplacian operator. By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo -fractional boundary value ...
Hüseyin Aktuğlu, Mehmet Ali Özarslan
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On Extended Caputo Fractional Derivative Operator [PDF]
, 2017 The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Also, we investigate the extended fractional derivative of some familiar special functions, the Mellin transforms of newly ...
Gauhar Rahman +2 more
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A Gronwall inequality for a general Caputo fractional operator [PDF]
Mathematical Inequalities & Applications, 2017 In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo--Hadamard fractional derivative operators. We study some properties of the operator, namely we prove that it is the inverse operation of a generalized fractional integral.
Almeida, Ricardo, Ricardo Almeida
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