Apr 24 – 26, 2025 HYBRID
Bishkek, Kyrgyzstan
Asia/Bishkek timezone

Modified Laplace Integral Transform: Basic Properties, Specific Examples and Applications to Various Fractional Differential Equations

Apr 25, 2025, 2:00 PM
15m
KTMU (Bishkek, Kyrgyzstan)

KTMU

Bishkek, Kyrgyzstan

C. Aytmatov Campus, Kyrgyzstan-Turkish Manas University, 720038, Jal, Bishkek, KYRGYZSTAN
Oral Presentation Modern Applications in Mathematical Modeling, Data Analysis, Optimization, Numerical Methods and Scientific Programming, Mathematical Biology, Mathematical Chemistry and Mathematical Physics Mathematical Sciences Modern Applications

Speaker

Dr Enes ATA (Kirsehir Ahi Evran University)

Description

In this paper, a new integral transform, called the modified Laplace integral transform, is introduced and some of its basic properties are presented. Moreover, the modified Laplace integral transform of some special functions and fractional operators are calculated. Furthermore, solutions of various fractional differential equations are obtained with the help of this new integral transform and approximate behavior graphs are shown. Finally, to facilitate its use in various fields of science such as mathematics and engineering, a table of the modified Laplace integral transform is given.

Keywords Laplace transform, Fractional calculus, Special functions

Primary authors

Dr Enes ATA (Kirsehir Ahi Evran University) Prof. İsmail Onur Kıymaz (Kirsehir Ahi Evran University) Prof. Ercan Çelik (Kyrgyz-Turkish Manas University)

Presentation materials

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