Towards solving linear fractional differential equations with Hermite operational matrix

被引：0
|
作者：
Kosunalp, Hatice Yalman [1 ]
Gulsu, Mustafa [2 ]
机构：
[1] Bandirma Onyedi Eylul Univ, Gonen Vocat Sch, Dept Accounting & Tax, Balikesir, Turkiye
[2] Mugla Sitki Kocman Univ, Fac Sci, Math Dept, Mugla, Turkiye
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2023年 / 16卷 / 02期
关键词：
fractional differential equations; hermite; operational matrix; caputo; TRAVELING-WAVE SOLUTIONS; HOMOTOPY ANALYSIS METHOD;
D O I：
10.32513/asetmj/193220082316
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents the derivation of a new operational matrix of Caputo fractional derivatives through Hermite polynomials with Tau method to solve a set of fractional differential equations (FDEs). The proposed algorithm is intended to solve linear type of FDEs with the pre-defined conditions into a matrix form for redefining the complete problem as a system of a algebraic equations.The proposed strategy is then applied to solve the simplified FDEs in linear form. To assess the performance of the proposed method, exact and approximate solutions for a number of illustrative examples are obtained which prove the effectiveness of the idea.
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页码：47 / 61
页数：15
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