A novel integral transform operator and its applications
(ندگان)پدیدآورArora, Sh.Pasrija, A.
نوع فايل (MIME):PDF
The proposed study is focused to introduce a novel integral transform op-erator, called Generalized Bivariate (GB) transform. The proposed trans-form includes the features of the recently introduced Shehu transform, ARA transform, and Formable transform. It expands the repertoire of existing Laplace-type bivariate transforms. The primary focus of the present work is to elaborate fashionable properties and convolution theorems for the proposed transform operator. The existence, inversion, and duality of the proposed transform have been established with other existing transforms. Implementation of the proposed transform has been demonstrated by ap-plying it to different types of differential and integral equations. It validates the potential and trustworthiness of the GB transform as a mathematical tool. Furthermore, weighted norm inequalities for integral convolutions have been constructed for the proposed transform operator.
کلید واژگانIntegral transform
Lane–Emden type differential equations
Wave-like partial differential equations
Convolution type integral equations
سازمان پدید آورندهDepartment of Mathematics, Punjabi University, Patiala, Punjab-147002, India.
Department of Mathematics, Punjabi University, Patiala, Punjab-147002, India.