A pair of fractional Hankel-Clifford transform on Sobolev-type spaces: theory, examples, and applications

被引:0
作者
Kumar, Manish [1 ]
Pradhan, Tusharakanta [1 ]
机构
[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, Telangana, India
关键词
Pair of fractional Hankel-Clifford transforms; Pair of fractional Hankel-Clifford convolutions; Fractional Hankel-Clifford-Sobolev spaces; Hilbert space; Weak solutions to partial differential equations;
D O I
10.1007/s43036-022-00226-w
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper defines two definitions for Sobolev-type spaces using fractional Hankel-Clifford transform pairs. We constructed an example in each space and obtained its solution. We also proved that these spaces are complete. Further, we derived the boundedness properties of the product and convolution of these spaces. Furthermore, we provided some applications of fractional Hankel-Clifford transform pairs to solve analytically generalized homogeneous partial differential equations with variable coefficients. Finally, we illustrated the solution surface profiles for generalized homogeneous partial differential equations with variable coefficients in 3D view to show the analytical solution more elegantly.
引用
收藏
页数:19
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