An efficient scheme for solving a system of fractional differential equations with boundary conditions
From MaRDI portal
Publication:1631968
DOI10.1186/s13662-017-1260-9zbMath1422.34033OpenAlexW2736645392WikidataQ59515202 ScholiaQ59515202MaRDI QIDQ1631968
Sertan Alkan, Aydin Secer, Veysel Fuat Hatipoğlu
Publication date: 7 December 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1260-9
Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items
Adaptation of the novel cubic B-spline algorithm for dealing with conformable systems of differential boundary value problems concerning two points and two fractional parameters, Existence of series solutions for certain nonlinear systems of time fractional partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new solution method for nonlinear fractional integro-differential equations
- Numerical solutions for systems of nonlinear fractional ordinary differential equations using the FNDM
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- On efficient method for system of fractional differential equations
- Solving systems of fractional differential equations by homotopy-perturbation method
- On nonlinear fractional Klein-Gordon equation
- Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
- Newtonian law with memory
- On the Galerkin and collocation methods for two-point boundary value problems using sinc bases
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Extension of matched asymptotic method to fractional boundary layers problems
- A new fractional operator of variable order: application in the description of anomalous diffusion
- A new definition of fractional derivative
- Sinc-Galerkin method for approximate solutions of fractional order boundary value problems
- Nonlocal elasticity: an approach based on fractional calculus
- Solution of system of fractional differential equations by Adomian decomposition method
- Solving systems of fractional differential equations using differential transform method
- Solving a system of nonlinear fractional differential equations using Adomian decomposition
- An Analytic Algorithm for Solving System of Fractional Differential Equations
- Numerical solution of multi-order fractional differential equations via the sinc collocation method
- Advances in Fractional Calculus
- Fractional Calculus
