Geodesic
A computational algorithm for solving linear fractional differential equations of variable order
Filomat, Tome 37 (2023) no. 30, p. 10383

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DOI

An algorithm for solving a class of linear variable-order fractional differential equations (FDEs) numerically is presented in this paper. We utilized a combination of Caputo fractional derivatives with the Haar wavelet collocation method (HWCM) to numerically solve linear variable order FDEs. Examples are provided to demonstrate the precision of the suggested method. Some examples are provided to demonstrate the effectiveness and precision of HWCM. Additionally, maximum absolute error and mean square root error of each test problem are computed for various numbers of collocation points to demonstrate the validity and application of the suggested method. A comparison of exact and approximative solutions is shown in the figure for different numbers of collocation points.
DOI : 10.2298/FIL2330383A
Classification : 34K37
Keywords: Fractional calculus, Caputo derivatives, Variable-order FDEs, Haar wavelet 
Khursheed J Ansari; Rohul Amin; Hafsa ; Atif Nawaz; Fazli Hadi. A computational algorithm for solving linear fractional differential equations of variable order. Filomat, Tome 37 (2023) no. 30, p. 10383 . doi: 10.2298/FIL2330383A
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     title = {A computational algorithm for solving linear fractional differential equations of variable order},
     journal = {Filomat},
     pages = {10383 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330383A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330383A/}
}
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