Albert Science International Organization

ARTICLE DESCRIPTION: 

Sharad B. Ugale, Dinkar P. Patil  and Pradip R. Bhadane, Application of modified Laplace transform, Scaled Cubic L Transform in physics,  ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 2026, 6(1): 01-05.

Sharad B. Ugale^1† ,  Dinkar P. Patil²  and Pradip R. Bhadane³

¹Research scholar, Department of Mathematics, M.V.P. Samaj's , K.R.T. Arts B.H. Commerce and A.M. Science College, Nashik, Pin 422002, Maharashtra India Email-id :maths.sbu@gmail.com

²Principal, Adivasi Seva Samittee’s, Arts and Commerce College, Wadala, Nashik, , Pin. 422006, Maharashtra, India. 

Email-id :sdinkarpatil95@gmail.com

³Assistant Professor, M.V.P. Samaj's, Shrimati Vimlaben Khimji Tejookaya Arts, Science & Commerce College Deolali Camp , Nashik-422401. India. Email-id :prbhadane66@gmail.com

Corresponding Author:

†Sharad B. Ugale,

Research Scholar, Department of Mathematics, M.V.P. Samaj's , K .R. T. Arts B. H. Commerce and A. M. Science College, Nashik, Pin: 422002, Maharashtra, India.

Mobile: 8055176699

Email-id :maths.sbu@gmail.com

DOI-ds Link:: 10.2016-28457823,  https://doi-ds.org/doilink/04.2026-55347584/ASIO-JCPMAS/10.2016-28457823/V6I1/640 

Abstract: 

In this study, we propose a new modification of the Laplace transform called the “SCALED CUBIC L TRANSFORM.” It incorporates a cubic kernel and a scaling factor. It may be useful for solving third?order or higher differential equations. It may also handle situations where the function is stretched or compressed in time. We establish its fundamental  properties, including linearity, existence, and the derivative theorem. To demonstrate its effectiveness, we apply the transform to selected problems in physics.

Keywords: Scaled Cubic L Transform, Boundary value problem, Integral transform, Laplace transformation, Ordinary differntial equations, modified Laplace transform.

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