Fractional Differential Equations and Expansions in Fractional Powers

被引：3

作者：

Caratelli, Diego ^{[1
,2
]}

Natalini, Pierpaolo ^{[3
]}

Ricci, Paolo Emilio ^{[4
]}

机构：

[1] Antenna Co, High Tech Campus 29, NL-5656 AE Eindhoven, Netherlands

[2] Eindhoven Univ Technol, Dept Elect Engn, POB 513, NL-5600 MB Eindhoven, Netherlands

[3] Roma Tre Univ, Dept Math & Phys, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

[4] Int Telemat Univ UniNettuno, Math Sect, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 10期

关键词：

Caputo fractional derivative; fractional differential equations; expansions in fractional powers; fractional-order logistic equation; NUMERICAL-SOLUTION;

D O I：

10.3390/sym15101842

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.

引用

页数：13

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