Application of Input–Output Analysis in the Indian Food Processing Industry: A Case Study Approach

Deena Ram  Chhaba; Dr. Pushpendra  Kumar

doi:10.59828/pijms.v2i1.25

Authors

Deena Ram Chhaba Research Scholar, Department of Mathematics, SKD University, Hanumangarh, Raj. Author
Dr. Pushpendra Kumar Associate professor, Department of Mathematics, SKD University, Hanumangarh, Raj. Author

DOI:

https://doi.org/10.59828/pijms.v2i1.25

Abstract

This work explores analytical solutions of fractional-order dispersive partial differential equations using a newly proposed decomposition approach. Fractional derivatives are formulated in the Caputo sense. The obtained solutions, for both fractional and classical integer-order cases, are expressed as convergent series, highlighting the effectiveness and fast convergence of the technique. To demonstrate the reliability and applicability of the method, several representative examples are discussed in detail. Furthermore, the study examines how the solutions of fractional-order models gradually approach the corresponding integer-order solutions as the fractional parameter varies.

Keywords: Nonlocal partial differential equations (FPDEs), Dispersive equations, Caputo Nonlocal derivative, Convergence analysis, Laplace transform.