Solution for fractional partial and integral differential equation of Laplace-Sumudu transforms

Authors

  • Dilip Kumar Jaiswal Faculty of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities, Shri Ramswaroop Memorial University, Lucknow-Deva Road-225003, India
  • Surekha Dewangan Department of Mathematics, Dr. C.V. Raman University, Kargi Road Kota, Bilaspur (C.G.)
  • D. S. Singh Department of Mathematics, Dr. C.V. Raman University, Kargi Road Kota, Bilaspur (C.G.)

Abstract

This paper presents a new methodology for dealing with fractional partial differential equation and fractional integrals equation of Laplace-Sumudu transform. The equation, subject to special constraints by combining the Laplace transform with the Sumudu transform. The analog Sumudu transform method handle integral and derivatives of fractional orders using analog derivatives. In this paper, we presented as in-depth examination of fundamental fruits and the relationship of revolutionary development.

Published

2025-08-30

How to Cite

Solution for fractional partial and integral differential equation of Laplace-Sumudu transforms. (2025). Nonlinear Studies, 32(3), 1011-1018. https://nonlinearstudies.com/index.php/nonlinear/article/view/3963