Application of caputo–fabrizio operator to suppress the aedes aegypti mosquitoes via wolbachia: an LMI approach [PDF]
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]
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]
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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Incomplete Caputo fractional derivative operators [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozarslan, Mehmet Ali, Ustaoglu, Ceren
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
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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Study of a Fractional‐Order Chaotic System Represented by the Caputo Operator [PDF]
This paper is presented on the theory and applications of the fractional‐order chaotic system described by the Caputo fractional derivative. Considering the new fractional model, it is important to establish the presence or absence of chaotic behaviors.
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On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions
This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio integral operators. Various generalizations of Hermite–Hadamard-type inequalities containing Caputo–Fabrizio integral operators are derived for those functions whose derivatives are (s,m)-convex.
Ammara Nosheen +4 more
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A Study of Positivity Analysis for Difference Operators in the Liouville–Caputo Setting
The class of symmetric function interacts extensively with other types of functions. One of these is the class of positivity of functions, which is closely related to the theory of symmetry. Here, we propose a positive analysis technique to analyse a class of Liouville–Caputo difference equations of fractional-order with extremal conditions.
Hari Mohan Srivastava +5 more
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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.
Tayyaba Manzoor +3 more
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On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator [PDF]
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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