Results 41 to 50 of about 11,783 (202)

Applications of Fractional Differentiation Matrices in Solving Caputo Fractional Differential Equations

Fractal and Fractional, 2023
This paper pursues obtaining Jacobi spectral collocation methods to solve Caputo fractional differential equations numerically. We used the shifted Jacobi–Gauss–Lobatto or Jacobi–Gauss–Radau quadrature nodes as the collocation points and derived the fractional differentiation matrices for Caputo fractional derivatives.
Zhongshu Wu, Xinxia Zhang, Jihan Wang, Xiaoyan Zeng   +3 more
openaire   +2 more sources

Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method

Advances in Mathematical Physics, 2021
In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya, Ali Demir, Hulya Kodal Sevindir   +2 more
doaj   +1 more source

Application of piecewise fractional differential equation to COVID-19 infection dynamics

Results in Physics, 2022
We proposed a new mathematical model to study the COVID-19 infection in piecewise fractional differential equations. The model was initially designed using the classical differential equations and later we extend it to the fractional case.
Xiao-Ping Li, Haifaa F. Alrihieli, Ebrahem A. Algehyne, Muhammad Altaf Khan, Mohammad Y. Alshahrani, Yasser Alraey, Muhammad Bilal Riaz   +6 more
doaj   +1 more source

Application of the Generalized Laplace Homotopy Perturbation Method to the Time-Fractional Black–Scholes Equations Based on the Katugampola Fractional Derivative in Caputo Type

Computation, 2021
In the finance market, the Black–Scholes equation is used to model the price change of the underlying fractal transmission system. Moreover, the fractional differential equations recently are accepted by researchers that fractional differential equations
Sirunya Thanompolkrang, Wannika Sawangtong, Panumart Sawangtong   +2 more
doaj   +1 more source

Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]

, 2011
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, D Baleanu, D Baleanu, D Baleanu, D Mozyrska, D Mozyrska, DFM Torres, F Riewe, GSF Frederico, GSF Frederico, GSF Frederico, I Podlubny, NRO Bastos, NRO Bastos, OP Agrawal, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Magin, RA El-Nabulsi, RA El-Nabulsi, TM Atanacković   +29 more
core   +3 more sources

The Eigenvalue Problem for Caputo Type Fractional Differential Equation with Riemann-Stieltjes Integral Boundary Conditions

Journal of Function Spaces, 2018
In this paper, we investigate the eigenvalue problem for Caputo fractional differential equation with Riemann-Stieltjes integral boundary conditions Dc0+θp(y)+μf(t,p(y))=0, y∈[0,1], p(0)=p′′(0)=0, p(1)=∫01p(y)dA(y), where Dc0+θ is Caputo fractional ...
Wenjie Ma, Yujun Cui
doaj   +1 more source

Towards a combined fractional mechanics and quantization

, 2012
A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for systems containing combined Caputo fractional derivatives ...
Malinowska, Agnieszka B., Torres, Delfim F. M.   +1 more
core   +1 more source

On Implicit $ψ$-Caputo Fractional Integro-differential Equations

, 2021
13 ...
Pachpatte, Deepak B., Yewale, Bhagwat R.
openaire   +2 more sources

Kenyan Farmers' Policy Priorities During Economic Crisis and Stability: Insights From a Best‐Worst Scaling Experiment

Applied Economic Perspectives and Policy, EarlyView.
ABSTRACT Amid rising food and fertilizer prices, understanding farmers' policy preferences is critical for effective crisis response. We use best‐worst scaling experiment to assess Kenyan mobile‐owning crop farmers' preferences for government support under high and normal price scenarios.
Mywish K. Maredia, John Olwande, Jacob Ricker‐Gilbert, David L. Mather, Nicole M. Mason   +4 more
wiley   +1 more source

Unique Solutions for Caputo Fractional Differential Equations with Several Delays Using Progressive Contractions

Mathematics
We take into account a nonlinear Caputo fractional-order differential equation including several variable delays. We examine whether the solutions to the Caputo fractional-order differential equation taken under consideration, which has numerous variable
Cemil Tunç, Fahir Talay Akyildiz
doaj   +1 more source