Existence Results and Numerical Solutions for a Multi-Term Fractional Integro-Differential Equation
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 413
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We investigate numerical solutions for a multi-term fractional integro-differential equation by using the collocation method. In this way, we handle Alpert's multi-wavelet to procure an approximation solution for the problem. We provide two examples to illustrate our main results.
Classification :
34A08 34K37, 65J15
Keywords: Alpert's multiwavelets, $\alpha$-$\psi$-Contraction, Caputo fractional differentiation, Multi-term fractional integro-differential equation
Keywords: Alpert's multiwavelets, $\alpha$-$\psi$-Contraction, Caputo fractional differentiation, Multi-term fractional integro-differential equation
@article{KJM_2019_43_3_a5,
author = {N. Aghazadeh and E. Ravash and SH. Rezapour},
title = {Existence {Results} and {Numerical} {Solutions} for a {Multi-Term} {Fractional} {Integro-Differential} {Equation}},
journal = {Kragujevac Journal of Mathematics},
pages = {413 },
year = {2019},
volume = {43},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a5/}
}
TY - JOUR AU - N. Aghazadeh AU - E. Ravash AU - SH. Rezapour TI - Existence Results and Numerical Solutions for a Multi-Term Fractional Integro-Differential Equation JO - Kragujevac Journal of Mathematics PY - 2019 SP - 413 VL - 43 IS - 3 UR - http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a5/ LA - en ID - KJM_2019_43_3_a5 ER -
%0 Journal Article %A N. Aghazadeh %A E. Ravash %A SH. Rezapour %T Existence Results and Numerical Solutions for a Multi-Term Fractional Integro-Differential Equation %J Kragujevac Journal of Mathematics %D 2019 %P 413 %V 43 %N 3 %U http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a5/ %G en %F KJM_2019_43_3_a5
N. Aghazadeh; E. Ravash; SH. Rezapour. Existence Results and Numerical Solutions for a Multi-Term Fractional Integro-Differential Equation. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 3, p. 413 . http://geodesic.mathdoc.fr/item/KJM_2019_43_3_a5/