GENERAL CONFORMABLE FRACTIONAL DOUBLE LAPLACE-SUMUDU TRANSFORM AND ITS APPLICATION

Honggang Jia; Yufeng Nie; Yanmin Zhao

doi:10.11948/20220344

2025 Volume 15 Issue 1

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Honggang Jia, Yufeng Nie, Yanmin Zhao. GENERAL CONFORMABLE FRACTIONAL DOUBLE LAPLACE-SUMUDU TRANSFORM AND ITS APPLICATION[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 9-20. doi: 10.11948/20220344

Citation:

Honggang Jia, Yufeng Nie, Yanmin Zhao. GENERAL CONFORMABLE FRACTIONAL DOUBLE LAPLACE-SUMUDU TRANSFORM AND ITS APPLICATION[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 9-20. doi: 10.11948/20220344

GENERAL CONFORMABLE FRACTIONAL DOUBLE LAPLACE-SUMUDU TRANSFORM AND ITS APPLICATION

1.
Xuchang University, Xuchang, China
2.
Northwestern Polytechnical University, Xi'an, China

Author Bio: Email: yfnie@nwpu.edu.cn(Y. Nie); Email: zhaoym@lsec.cc.ac.cn(Y. Zhao)
Corresponding author: Email: z770428@126.com(H. Jia)

Abstract

Abstract

A new deformation of the Laplace-Sumudu transform that called general fractional conformable double Laplace-Sumudu transform (FCDLST) has been introduced. Its excellent properties are proved, then, fractional partial differential equations is solved by using the proposed transform. Besides, illustrative examples are provided to demonstrate the validity and applicability of the presented method.
MSC: 35A20, 35A22

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References

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