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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On a new version of Hermite–Hadamard-type inequality based on proportional Caputo-hybrid operator [PDF]
Boundary Value ProblemsIn mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it is better to use a new hybrid fractional operator, which combines the proportional and Caputo operators.
Tuba Tunç, İzzettin Demir
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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 ...
Carlo Cattani +2 more
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Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
Chaos, Solitons and Fractals, 2021 In this article we study a fractional-order mathematical model describing the spread of the new coronavirus (COVID-19) under the Caputo-Fabrizio sense. Exploiting the approach of fixed point theory, we compute existence as well as uniqueness of the related solution.
Tahir Khan +2 more
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Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function [PDF]
Discrete Dynamics in Nature and Society, 2021 In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan +3 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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Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition [PDF]
Complexity, 2021 The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem
Zhongqi Peng +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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Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function [PDF]
Advances in Mathematical Physics, 2021 In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor +3 more
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Extended Caputo k -type fractional derivative operator and its properties
Partial Differential Equations in Applied MathematicsIn this paper, we present some extensions of the k-hypergeometric functions and then develop the extended Caputo k-type fractional derivative operator by using two parameters k-Mittag–Leffler function.
P Agarwal, S Jain, Parik Laxmi
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