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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…
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Keywords:
numerical analytical;
fractional order;
solution;
multi term ... See more keywords
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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…
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Keywords:
time space;
space convection;
term time;
multiwavelet functions ... See more keywords
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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…
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Keywords:
finite element;
diffusion;
mixed finite;
element method ... See more keywords
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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…
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Keywords:
fuzzy fractional;
differential equation;
solution fuzzy;
term differential ... See more keywords
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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…
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Keywords:
term fractional;
fractional differential;
differential equations;
stability ... See more keywords
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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…
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Keywords:
difference;
order;
multi term;
order fractional ... See more keywords
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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…
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Keywords:
analytical solutions;
multi term;
differential equations;
term time ... See more keywords
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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…
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Keywords:
term fractional;
order differential;
differential equations;
fractional order ... See more keywords
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Published in 2022 at "Symmetry"
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.…
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Keywords:
formulation;
order differential;
term;
differential equations ... See more keywords