Results 11 to 20 of about 2,788 (197)
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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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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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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On Extended Caputo Fractional Derivative Operator
, 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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Certain fractional inequalities via the Caputo Fabrizio operator [PDF]
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 the linear fuzzy model associated with Caputo–Fabrizio operator [PDF]
Boundary Value Problems, 2018 In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions.
R. Abdollahi +3 more
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Mathematical modeling of pine wilt disease with Caputo fractional operator [PDF]
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
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On Hermite-Hadamard type Inequalities for Proportional Caputo-Hybrid Operator [PDF]
, 2023 In this study, we present a new generalization of the Hermite-Hadamard type inequalities for convex functions via proportional Caputo-hybrid operator.
Sarıkaya, Mehmet Zeki
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A New Extension of Extended Caputo Fractional Derivative Operator
, 2018 Recently, different extensions of the fractional derivative operator are found in many research papers. The main aim of this paper is to establish an extension of the extended Caputo fractional derivative operator. The extension of an extended fractional derivative of some elementary functions derives by considering an extension of beta function which ...
Gauhar Rahman +2 more
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On a New Extension of Caputo Fractional Derivative Operator
, 2017 In this paper, by using a generalization of beta function we introduced a new extension of Caputo fractional derivative operator and obtained some of its properties. With the help of this extended fractional derivative operator, we also defined new extensions of some hypergeometric functions and determined their integral representations, linear and ...
İ.O. Kıymaz +3 more
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