One of the significant methods for solving initial value problems and some integral equations is the use of integral transforms which serve for converting them to algebraic equations that can be solved by applying the inverse transforms. Resently, several integral transforms have been presented and applied for solving initial value problems and some integral equations such as Sumudu, Natural, Al-Tememe, Elzaki, Aboodh, T Kashuri and Fundo, Mahgoub, Kamal, Polynomial, Al-Zughair, Rangaig, Mohand and, Al-Zughair Transforms. In this paper, integral transform has been presented and studied which is in a clase of Laplace integral transform and related to Jafari general integral transform. Furthermore, theorems and some applications for solving initial value problems have been provided.
تاريخ النشر
30/06/2022
الناشر
Journal of Alasmarya University
رقم المجلد
7
رقم العدد
2
الصفحات
84-93
الكلمات المفتاحية
GF1 Integral transform, picecewise continuous, exponential order, intial value problems.