New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator [PDF]
Journal of Inequalities and ApplicationsFractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous ...
İzzettin Demir, Tuba Tunç
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Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator [PDF]
Advances in Difference Equations, 2020 In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model.
Fatmawati +3 more
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A New Extension of Extended Caputo Fractional Derivative Operator [PDF]
, 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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Semilinear Fractional Evolution Inclusion Problem in the Frame of a Generalized Caputo Operator [PDF]
Journal of Function Spaces, 2021 In this paper, we study the existence of solutions to initial value problems for a nonlinear generalized Caputo fractional differential inclusion with Lipschitz set-valued functions.
Adel Lachouri +3 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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Analysis of fractional COVID-19 epidemic model under Caputo operator. [PDF]
Math Methods Appl Sci, 2021 The article deals with the analysis of the fractional COVID-19 epidemic model (FCEM) with a convex incidence rate. Keeping in view the fading memory and crossover behavior found in many biological phenomena, we study the coronavirus disease by using the ...
Zarin R +4 more
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Application of caputo–fabrizio operator to suppress the aedes aegypti mosquitoes via wolbachia: an LMI approach [PDF]
, 2021 The aim of this paper is to establish the stability results based on the approach of Linear Matrix Inequality (LMI) for the addressed mathematical model using Caputo–Fabrizio operator (CF operator).
Cao, J. +5 more
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A Note on Caputo’s Derivative Operator Interpretation in Economy [PDF]
Journal of Applied Mathematics, 2018 We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic indicators.
Hameed Ur Rehman +2 more
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An Extension of Caputo Fractional Derivative Operator by Use of Wiman’s Function [PDF]
Symmetry, 2021 The main aim of this work is to study an extension of the Caputo fractional derivative operator by use of the two-parameter Mittag–Leffler function given by Wiman. We have studied some generating relations, Mellin transforms and other relationships with extended hypergeometric functions in order to derive this extended operator.
Goyal, Rahul +3 more
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On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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