Results 21 to 30 of about 2,788 (197)

Application of caputo–fabrizio operator to suppress the aedes aegypti mosquitoes via wolbachia: an LMI approach [PDF]

open access: yes, 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
core   +1 more source

A Note on Caputo’s Derivative Operator Interpretation in Economy [PDF]

open access: yesJournal 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
openaire   +3 more sources

An Extension of Caputo Fractional Derivative Operator by Use of Wiman’s Function [PDF]

open access: yesSymmetry, 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
openaire   +1 more source

Incomplete Caputo fractional derivative operators [PDF]

open access: yesAdvances in Difference Equations, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozarslan, Mehmet Ali, Ustaoglu, Ceren
openaire   +4 more sources

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

open access: yes, 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
core   +1 more source

Study of a Fractional‐Order Chaotic System Represented by the Caputo Operator [PDF]

open access: yesComplexity, 2021
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.
openaire   +2 more sources

On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions

open access: yesFractal and Fractional, 2023
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
openaire   +2 more sources

A Study of Positivity Analysis for Difference Operators in the Liouville–Caputo Setting

open access: yesSymmetry, 2023
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
openaire   +1 more source

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

open access: yes, 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.
Tayyaba Manzoor   +3 more
core   +1 more source

On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator [PDF]

open access: yes, 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
core   +1 more source

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