# Modified Laplace transform and its properties

Volume 21, Issue 2, pp 127--135
Publication Date: April 06, 2020 Submission Date: September 04, 2019 Revision Date: October 14, 2019 Accteptance Date: March 03, 2020
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### Authors

Mohd Saif - Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India. Faisal Khan - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. Kottakkaran Sooppy Nisar - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, 11991, Saudi Arabia. Serkan Araci - Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410, Gaziantep, Turkey.

### Abstract

In this paper we propose a new definition of the modified Laplace transform $\mathcal{L}_{a}(f(t))$ for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for $a=e$ where $a\neq1$ and $a>0.$ Also we prove some basic results of this modified Laplace transform and connection with different functions.

### Share and Cite

##### ISRP Style

Mohd Saif, Faisal Khan, Kottakkaran Sooppy Nisar, Serkan Araci, Modified Laplace transform and its properties, Journal of Mathematics and Computer Science, 21 (2020), no. 2, 127--135

##### AMA Style

Saif Mohd, Khan Faisal, Nisar Kottakkaran Sooppy, Araci Serkan, Modified Laplace transform and its properties. J Math Comput SCI-JM. (2020); 21(2):127--135

##### Chicago/Turabian Style

Saif, Mohd, Khan, Faisal, Nisar, Kottakkaran Sooppy, Araci, Serkan. "Modified Laplace transform and its properties." Journal of Mathematics and Computer Science, 21, no. 2 (2020): 127--135

### Keywords

• Laplace transform
• convolution
• double Laplace transform

•  44A10
•  44A35
•  44A30

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