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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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 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
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On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator [PDF]
Abstract and Applied Analysis, 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
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Constrained Controllability of the h-Difference Fractional Control Systems with Caputo Type Operator [PDF]
Discrete Dynamics in Nature and Society, 2015 The problem of controllability to a given convex target set of linear fractional systems with h-difference fractional operator of Caputo type is studied. Necessary and sufficient conditions of controllability with constrained controllers for such systems
Ewa Pawluszewicz
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A novel method for Milne-type inequalities using proportional Caputo-hybrid operator
Miskolc Mathematical NotesIn mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis.
İzzetti̇n Demi̇r
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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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Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator [PDF]
Frontiers in Physics, 2018 The study addresses the physical background and modeling of linear viscoelastic response functions and their reasonable relationships to the Caputo-Fabrizio fractional operator via the Prony (Dirichlet series) series decomposition.
Jordan Yankov Hristov
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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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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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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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