Two-dimensional (P,Q)-Mellin transform and applications

2021 ◽  
pp. 2250081
Author(s):  
Pankaj Jain ◽  
Chandrani Basu ◽  
Vivek Panwar
Keyword(s):  
Integral Equations ◽  
Inversion Formula ◽  
Mellin Transform ◽  
Type Theorem ◽  
Two Dimensional ◽  
Basic Properties

In this paper, we have introduced and studied two-dimensional [Formula: see text]-Mellin transform which extends the known results of two-dimensional [Formula: see text]-Mellin transform. We provide its several basic properties, the appropriate convolution, the inversion formula and the Parseval-type relations. Some applications of [Formula: see text]-Mellin transform have been pointed out in solving integral equations. Finally, a Titchmarsh-type theorem has been proved.

Approximate solutions of nonlinear two‐dimensional Volterra integral equations

2021 ◽  
Author(s):  
Sumbal Ahsan ◽  
Rashid Nawaz ◽  
Muhammad Akbar ◽  
Kottakkaran Sooppy Nisar ◽  
Dumitru Baleanu
Keyword(s):  
Integral Equations ◽  
Approximate Solutions ◽  
Volterra Integral Equations ◽  
Two Dimensional

scholarly journals Solving two-dimensional integral equations

2011 ◽  
Vol 23 (1) ◽  
pp. 111-114 ◽  
Author(s):  
F. Bazrafshan ◽  
A.H. Mahbobi ◽  
A. Neyrameh ◽  
A. Sousaraie ◽  
M. Ebrahimi
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Dimensional Integral
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