A numerical‐analytical solution of multi‐term fractional‐order differential equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6242
Abstract: In this paper, a solution to initial value problems for fractional‐order linear commensurate multi‐term differential equations with Caputo derivatives is presented. The solution is obtained in the form of a finite sum of the Mittag‐Leffler–type… read more here.
Keywords: numerical analytical; fractional order; solution; multi term ... See more keywords
Legendre multiwavelet functions for numerical solution of multi-term time-space convection–diffusion equations of fractional order
Sign Up to like & getrecommendations! Published in 2019 at "Engineering with Computers"
DOI: 10.1007/s00366-019-00896-w
Abstract: In this study, the Ritz–Galerkin method based on Legendre multiwavelet functions is introduced to solve multi-term time-space convection–diffusion equations of fractional order with variable coefficients and initial-boundary conditions. This method reduces the problem to a… read more here.
Keywords: time space; space convection; term time; multiwavelet functions ... See more keywords
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0447-8
Abstract: In this paper, numerical theory based on the mixed finite-element method and finite difference analog of the Caputo fractional derivative for multi-term time-fractional diffusion equations and diffusion-wave equations is analyzed. The unconditional stability and convergence… read more here.
Keywords: finite element; diffusion; mixed finite; element method ... See more keywords
Approximate Solution for a Fuzzy Fractional Multi-term Differential Equation by Müntz Polynomials
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-021-00988-6
Abstract: In this study, we present a new approach for the numerical solution of a fuzzy fractional multi term differential equation under the Caputo fractional derivative which orders in [0, 1]. To do this, collocation method based… read more here.
Keywords: fuzzy fractional; differential equation; solution fuzzy; term differential ... See more keywords
Stability analysis of multi-term fractional-differential equations with three fractional derivatives
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124751
Abstract: Abstract Necessary and sufficient stability and instability conditions are obtained for multi-term homogeneous linear fractional differential equations with three Caputo derivatives and constant coefficients. In both cases, fractional-order-dependent as well as fractional-order-independent characterisations of stability… read more here.
Keywords: term fractional; fractional differential; differential equations; stability ... See more keywords
Finite difference scheme for multi-term variable-order fractional diffusion equation
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1544-8
Abstract: In this paper, we consider a multi-term variable-order fractional diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α(x,t)∈(0,1)$\alpha(x,t) \in(0,1) $ and the Riesz variable-order space fractional derivatives… read more here.
Keywords: difference; order; multi term; order fractional ... See more keywords
Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms
Sign Up to like & getrecommendations! Published in 2018 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0019
Abstract: Abstract In this paper, we consider the analytical solutions of multi-term time-space fractional partial differential equations with nonlocal damping terms for general mixed Robin boundary conditions on a finite domain. Firstly, method of reduction to… read more here.
Keywords: analytical solutions; multi term; differential equations; term time ... See more keywords
A numerical study for solving multi-term fractional-order differential equations
Sign Up to like & getrecommendations! Published in 2023 at "Thermal Science"
DOI: 10.2298/tsci23s1401n
Abstract: In this article, we extended operational matrices using orthonormal Boubaker polynomials of Riemann-Liouville fractional integration and Caputo derivative to find numerical solution of multi-term fractional-order differential equations (FDE). The proposed method is utilized to convert… read more here.
Keywords: term fractional; order differential; differential equations; fractional order ... See more keywords
Formulation, Solution's Existence, and Stability Analysis for Multi-Term System of Fractional-Order Differential Equations
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DOI: 10.3390/sym14071342
Abstract: In the recent past, multi-term fractional equations have been studied using symmetry methods. In some cases, many practical test problems with some symmetries are provided to demonstrate the authenticity and utility of the used techniques.… read more here.
Keywords: formulation; order differential; term; differential equations ... See more keywords