Results 71 to 80 of about 1,032 (127)

An investigation of fractional Bagley-Torvik equation

Open Mathematics, 2019
In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
doaj   +1 more source

Fractional Euler numbers and generalized proportional fractional logistic differential equation. [PDF]

Fract Calc Appl Anal, 2022
Nieto JJ.
europepmc   +1 more source

On the nonlinear Hadamard-type integro-differential equation. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Li C.
europepmc   +1 more source

Involvement of three successive fractional derivatives in a system of pantograph equations and studying the existence solution and MLU stability

Demonstratio Mathematica
Developing a model of fractional differential systems and studying the existence and stability of a solution is considebly one of the most important topics in the field of analysis.
Hammad Hasanen A., Işık Hüseyin, Aydi Hassen, Sen Manuel De la   +3 more
doaj   +1 more source

A Generalized Fractional Calculus of Variations

, 2013
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives.
Malinowska, Agnieszka B., Odzijewicz, Tatiana, Torres, Delfim F. M.   +2 more
core  

COVID-19 dynamics and immune response: Linking within-host and between-host dynamics. [PDF]

Chaos Solitons Fractals, 2023
Adewole MO, Faniran TS, Abdullah FA, Ali MKM.   +3 more
europepmc   +1 more source

Efficient scheme for a category of variable-order optimal control problems based on the sixth-kind Chebyshev polynomials

Demonstratio Mathematica
The main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal,
Sadri Khadijeh, Hosseini Kamyar, Salahshour Soheil, Baleanu Dumitru, Ahmadian Ali, Park Choonkil   +5 more
doaj   +1 more source

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source

Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral. [PDF]

J Appl Math Comput, 2022
Moumen Bekkouche M, Mansouri I, Ahmed AAA.   +2 more
europepmc   +1 more source

A novel numerical approach to solutions of fractional Bagley-Torvik equation fitted with a fractional integral boundary condition

Demonstratio Mathematica
In this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert space method, to investigate the approximate numerical solutions for a specific class of fractional Begley-Torvik equations (FBTE) equipped with fractional ...
Aljazzazi Mazin, Maayah Banan, Djeddi Nadir, Al-Smadi Mohammed, Momani Shaher   +4 more
doaj   +1 more source