Solutions of two classes of ordinary differential equations by the Laplace transform method via H and T functions

The Mittag-Leffler function is an extension of the exponential function and plays important role in the field of differential equations.The objective of this paper is to find two classes of differential equations whose solutions are functions T p j and H p j , j = 0, . . ., p -1, which are the special case of Mittag-Leffler functions.

Publication Details

Journal
Communications in Optimization Theory
Published
2025-01-01
DOI
https://doi.org/10.23952/cot.2025.38
Primary Topic
Numerical methods for differential equations
Type
article
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0.00
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article

Solutions of two classes of ordinary differential equations by the Laplace transform method via H and T functions

Communications in Optimization Theory
Numerical methods for differential equations
article

Solutions of two classes of ordinary differential equations by the Laplace transform method via H and T functions

article en

Abstract

The Mittag-Leffler function is an extension of the exponential function and plays important role in the field of differential equations.The objective of this paper is to find two classes of differential equations whose solutions are functions T p j and H p j , j = 0, . . ., p -1, which are the special case of Mittag-Leffler functions.

Communications in Optimization TheoryVol. 2025(1)
Openalex Percentile: Top 59%
Numerical methods for differential equations
DOIOpen Access PDFOpenAlex
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Solutions of two classes of ordinary differential equations by the Laplace transform method via H and T functions · Communications in Optimization Theory (2025) | TGRS Research Map | TGRS