Results 11 to 20 of about 58,917 (294)

Fractional input stability for electrical circuits described by the Riemann-Liouville and the Caputo fractional derivatives

open access: goldAIMS Mathematics, 2019
The fractional input stability of the electrical circuit equations described by the fractional derivative operators has been investigated. The Riemann-Liouville and the Caputo fractional derivative operators have been used.
Ndolane Sene
doaj   +2 more sources

Fractional boundary value problem with $$\varvec{\psi }$$-Caputo fractional derivative

open access: yesProceedings - Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed S Abdo   +2 more
semanticscholar   +3 more sources

Fractional differential equations with dependence on the Caputo-Katugampola derivative [PDF]

open access: greenJournal of Computational and Nonlinear Dynamics, 2016
In this paper, we present a new type of fractional operator, the Caputo–Katugampola derivative. The Caputo and the Caputo–Hadamard fractional derivatives are special cases of this new operator. An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved.
Ricardo Almeida   +2 more
openalex   +5 more sources

A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives [PDF]

open access: yesThe European Physical Journal Plus, 2021
Recently, it is important to try to understand diseases with large mortality rates worldwide, such as infectious disease and cancer. For this reason, mathematical modeling can be used to comment on diseases that adversely affect all people. So, this paper discuss mathematical model presented for the first time that examines the interaction between ...
Uçar, Esmehan, Özdemir, Necati
openaire   +4 more sources

An analytical solution for the Caputo type generalized fractional evolution equation

open access: yesAlexandria Engineering Journal, 2022
The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
doaj   +1 more source

Fractional Telegraph Equation with the Caputo Derivative

open access: yesFractal and Fractional, 2023
The Cauchy problem for the telegraph equation (Dtρ)2u(t)+2αDtρu(t)+Au(t)=f(t) (0<t≤T,0<ρ<1, α>0), with the Caputo derivative is considered. Here, A is a selfadjoint positive operator, acting in a Hilbert space, H; Dt is the Caputo fractional derivative.
Ravshan Ashurov, Rajapboy Saparbayev
openaire   +3 more sources

Generalized Laplace transform and tempered ψ-Caputo fractional derivative

open access: yesMathematical Modelling and Analysis, 2023
In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived.
M. Medveď, M. Pospíšil
semanticscholar   +1 more source

Existence Results for a Differential Equation Involving the Right Caputo Fractional Derivative and Mixed Nonlinearities with Nonlocal Closed Boundary Conditions

open access: yesFractal and Fractional, 2023
In this study, we present a new notion of nonlocal closed boundary conditions. Equipped with these conditions, we discuss the existence of solutions for a mixed nonlinear differential equation involving a right Caputo fractional derivative operator, and ...
B. Ahmad, Manal Alnahdi, S. Ntouyas
semanticscholar   +1 more source

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