Solving Fractional Nonlinear Fredholm Integro-differential Equations via Hybrid of Rationalized Haar Functions
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@Article{JICS-9-169,
author = {Yadollah Ordokhani and Neda Rahimi},
title = {Solving Fractional Nonlinear Fredholm Integro-differential Equations via Hybrid of Rationalized Haar Functions},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {9},
number = {3},
pages = {169--180},
abstract = { This paper presents hybrid of rationalized Haar (HRH) functions method for approximate the
numerical solution of the fractional nonlinear Fredholm integro-differential equations (FNFIDEs). The
fractional derivatives are considered in the sense of Caputo. The fractional operational matrix of hybrid of
block-pulse and rationalized Haar functions are presented. This matrix together with the dual operational
matrix are used to reduce the computation of FNFIDEs into a system of algebraic equations. Some numerical
examples are given and the results of applying this method demonstrate time and computational are small.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22577.html}
}
TY - JOUR
T1 - Solving Fractional Nonlinear Fredholm Integro-differential Equations via Hybrid of Rationalized Haar Functions
AU - Yadollah Ordokhani and Neda Rahimi
JO - Journal of Information and Computing Science
VL - 3
SP - 169
EP - 180
PY - 2024
DA - 2024/01
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22577.html
KW - Fredholm integro-differential equation, Riemann-Liouville integral, Caputo fractional
derivative, Fractional operational matrix, Rationalized Haar, Hybrid.
AB - This paper presents hybrid of rationalized Haar (HRH) functions method for approximate the
numerical solution of the fractional nonlinear Fredholm integro-differential equations (FNFIDEs). The
fractional derivatives are considered in the sense of Caputo. The fractional operational matrix of hybrid of
block-pulse and rationalized Haar functions are presented. This matrix together with the dual operational
matrix are used to reduce the computation of FNFIDEs into a system of algebraic equations. Some numerical
examples are given and the results of applying this method demonstrate time and computational are small.
Yadollah Ordokhani and Neda Rahimi. (2024). Solving Fractional Nonlinear Fredholm Integro-differential Equations via Hybrid of Rationalized Haar Functions.
Journal of Information and Computing Science. 9 (3).
169-180.
doi:
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