JOURNAL OF LIAONING TECHNICAL UNIVERSITY
(NATURAL SCIENCE EDITION)
LIAONING GONGCHENG JISHU DAXUE XUEBAO (ZIRAN KEXUE BAN)
辽宁工程技术大学学报（自然科学版）
An Innovative Fractional Integral Transform for the Solution of Well Known Partial Differential Equations
Sidra Younis, Noreen Saba, Ghulam Mustafa, Muhammad Asghar, Faheem Khan, Tanweer Ahmad
Abstract
Our research introduced a novel and versatile fractional integral transform capable of solving a variety of integral and differential equations of both integer and fractional order. Furthermore, convergence of proposed transform and, findings of some other important application on different functions. We will derive the partial derivatives of different orders with variable t and x. Our main work encompasses particular solution of some well-known linear first and second order partial differential equations i.e., Laplace, Wave, One-dimensional homogeneous Heat and Telegraphers equations
Keyword: Integral transform; Fractional order transform; Partial differential equa-tions; Fractional differential equations; Integral equations. MSC codes: 31B10, 44A10, 26A33.