TY - JOUR AU - Saif, Mohd AU - Khan, Faisal AU - Nisar, Kottakkaran Sooppy AU - Araci, Serkan PY - 2020 TI - Modified Laplace transform and its properties JO - Journal of Mathematics and Computer Science SP - 127--135 VL - 21 IS - 2 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.021.02.04 DO - 10.22436/jmcs.021.02.04 ID - Saif2020 ER -