SOLUTIONS OF TWO CLASSES OF ORDINARY DIFFERENTIAL EQUATIONS BY THE LAPLACE TRANSFORM METHOD VIA H AND T FUNCTIONS

Arsalan Hojat Ansari; Snježana Maksimović; Mohsen Mirzaei Chalakei

doi:10.23952/cot.2025.38

SOLUTIONS OF TWO CLASSES OF ORDINARY DIFFERENTIAL EQUATIONS BY THE LAPLACE TRANSFORM METHOD VIA H AND T FUNCTIONS

Arsalan Hojat Ansari
, Snježana Maksimović^*
, Mohsen Mirzaei Chalakei

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	38
Journal	Communications in Optimization Theory
Volume	2025
DOIs	https://doi.org/10.23952/cot.2025.38
Publication status	Published - 2025
Externally published	Yes

Keywords

Laplace transform
Mittag-Leffler functions
Ordinary differential equations

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10.23952/cot.2025.38

Cite this

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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 Tp j and Hp j, j = 0, …, p − 1, which are the special case of Mittag-Leffler functions.",

keywords = "Laplace transform, Mittag-Leffler functions, Ordinary differential equations",

author = "Ansari, \{Arsalan Hojat\} and Snje{\v z}ana Maksimovi{\'c} and Chalakei, \{Mohsen Mirzaei\}",

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AU - Chalakei, Mohsen Mirzaei

PY - 2025

Y1 - 2025

N2 - 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 Tp j and Hp j, j = 0, …, p − 1, which are the special case of Mittag-Leffler functions.

AB - 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 Tp j and Hp j, j = 0, …, p − 1, which are the special case of Mittag-Leffler functions.

KW - Laplace transform

KW - Mittag-Leffler functions

KW - Ordinary differential equations

UR - https://www.scopus.com/pages/publications/105020061306

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DO - 10.23952/cot.2025.38

M3 - Article

AN - SCOPUS:105020061306

SN - 2051-2953

VL - 2025

JO - Communications in Optimization Theory

JF - Communications in Optimization Theory

M1 - 38

ER -

SOLUTIONS OF TWO CLASSES OF ORDINARY DIFFERENTIAL EQUATIONS BY THE LAPLACE TRANSFORM METHOD VIA H AND T FUNCTIONS

Abstract

Keywords

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