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
Determination of source term for fractional heat equation on the sphere
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DOI: 10.2298/tsci20s1361p
Abstract: In this work, we study a truncation method to solve a time fractional diffusion equation on the sphere of an inverse source problem which is ill-posed in the sense of Hadamard. Through some priori assumption,… read more here.
Keywords: term fractional; source term; equation sphere; equation ... See more keywords
A numerical study for solving multi-term fractional-order differential equations
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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