变系数prabhakar型线性微分方程

IF 1.8 4区数学 Q1 MATHEMATICS

Differential and Integral Equations Pub Date : 2022-05-25 DOI:10.57262/die035-0910-581

A. Fernandez, J. Restrepo, D. Suragan

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引用次数: 4

摘要

求解了具有变系数的线性微分方程和具有Mittag-Le-soluer核的Prabhakar型算子。在每种情况下，唯一解都被明确地构造为包含Prabhakar分数积分组成的收敛的有限级数。我们还将这些结果推广到关于函数的Prabhakar算子。作为一个重要的说明性例子，我们考虑了常数系数的情况，并通过使用多元Mittag-Le-soluer函数以更封闭的形式给出了解。

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Prabhakar-type linear differential equations with variable coefficients

. Linear diﬀerential equations with variable coeﬃcients and Prabhakar-type operators featuring Mittag-Leﬄer kernels are solved. In each case, the unique solution is constructed explicitly as a convergent inﬁnite series involving compositions of Prabhakar fractional integrals. We also extend these results to Prabhakar operators with respect to functions. As an important illustrative example, we consider the case of constant coeﬃcients, and give the solutions in a more closed form by using multivariate Mittag-Leﬄer functions.

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来源期刊

Differential and Integral Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential and Integral Equations will publish carefully selected research papers on mathematical aspects of differential and integral equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new, and of interest to a substantial number of mathematicians working in these areas.