Kamal Shah1,2, Hafsa Naz2, Thabet Abdeljawad1,3,*, Aziz Khan1, Manar A. Alqudah4
CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 941-955, 2023, DOI:10.32604/cmes.2022.021483
- 31 August 2022
Abstract In this manuscript, an algorithm for the computation of numerical solutions to some variable order fractional
differential equations (FDEs) subject to the boundary and initial conditions is developed. We use shifted Legendre
polynomials for the required numerical algorithm to develop some operational matrices. Further, operational
matrices are constructed using variable order differentiation and integration. We are finding the operational matrices of variable order differentiation and integration by omitting the discretization of data. With the help of aforesaid
matrices, considered FDEs are converted to algebraic equations of Sylvester type. Finally, the algebraic equations
we get are More >
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