Newly Defined Conformable Double Laplace Transform and Partial Differential Equations with Conformable Derivative

Authors

  • M. B. Labade Department of Mathematics, Maharaja Jivajirao Shinde Mahavidyalaya (Savitribai Phule Pune University), Shrigonda, Pune, Maharashtra, India; Research Center, New Arts, Commerce and Science College, Ahilyanagar, Pune, Maharashtra, India https://orcid.org/0009-0005-6403-9646
  • B. D. Gavhane Department of Mathematics, K. J. Somaiya College of Arts, Science and Commerce (Savitribai Phule Pune University), Kopargaon, Pune, Maharashtra, India
  • S. B. Gaikwad Department of Mathematics, New Arts, Commerce and Science College (Savitribai Phule Pune University), Ahilyanagar, Pune, Maharashtra, India

DOI:

https://doi.org/10.26713/cma.v16i3.3232

Keywords:

Conformable derivative, Conformable integral, Conformable double Laplace transform, Conformable partial differential equations, Klein-Gordan equation, Kdv equation

Abstract

This study provides a comprehensive investigation of the newly defined conformable double Laplace transform and the conformable derivatives. Several distinct properties of the conformable double Laplace transform are explored. The effectiveness and reliability of the method are demonstrated by obtaining analytical solutions to initial and boundary value problems associated with well-known fractional partial differential equations involving conformable derivatives.

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Published

30-10-2025
CITATION

How to Cite

Labade, M. B., Gavhane, B. D., & Gaikwad, S. B. (2025). Newly Defined Conformable Double Laplace Transform and Partial Differential Equations with Conformable Derivative. Communications in Mathematics and Applications, 16(3), 1051–1066. https://doi.org/10.26713/cma.v16i3.3232

Issue

Vol. 16 No. 3 (2025)

Section

Research Article

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