Results 1 to 10 of about 2,240 (177)
On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator [PDF]
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 +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 Hristov
exaly +6 more sources
New Numerical Aspects of Caputo-Fabrizio Fractional Derivative Operator [PDF]
Mathematics, 2019 In this paper, a new definition for the fractional order operator called the Caputo-Fabrizio (CF) fractional derivative operator without singular kernel has been numerically approximated using the two-point finite forward difference formula for the ...
Sania Qureshi +2 more
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Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator [PDF]
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.
Mati Ur Rahman, Saeed Ahmad, R T Matoog
exaly +4 more sources
A FRACTIONAL ORDER HIV/AIDS MODEL USING CAPUTO-FABRIZIO OPERATOR. [PDF]
Afr J Infect Dis, 2021 Background: HIV is a virus that is directed at destroying the human immune system thereby exposing the human body to the risk of been affected by other common illnesses and if it is not treated, it generates a more chronic illness called AIDS. Materials and Methods: In this paper, we employed the fixed-point theory in developing the uniqueness and ...
Unaegbu EN, Onah IS, Oyesanya MO.
europepmc +7 more sources
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
doaj +6 more sources
On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis
Fractal and Fractional, 2021 The discrete delta Caputo-Fabrizio fractional differences and sums are proposed to distinguish their monotonicity analysis from the sense of Riemann and Caputo operators on the time scale Z.
Pshtiwan Othman Mohammed +2 more
doaj +3 more sources
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
doaj +3 more sources
Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator
Results in Physics, 2021 In this study, we present the Pneumococcal Pneumonia infection model using fractional order derivatives in the Caputo-Fabrizio sense. We use fixed-point theory to prove the existence of the solution and investigate the uniqueness of the model variables. The fractional Adams-Bashforth method is used to compute an iterative solution to the model. Finally,
Olumuyiwa James Peter +2 more
exaly +4 more sources
AEJ - Alexandria Engineering Journal, 2020 The present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the ...
Abdon Atangana, Fatmawati
exaly +3 more sources