This paper delves into the intricate realm of utilizing fractional calculus approaches to tackle the challenges posed by higher-dimensional versions of the Kudryashov-Sinelshchilov equation. While the Kudryashov-Sinelshchilov equation has garnered significant attention for its applications in various scientific domains, its extension to higher dimensions necessitates innovative methodologies to comprehend the complexities inherent in multidimensional wave propagation. Fractional calculus, with its ability to capture non-local and memory-dependent effects, emerges as a promising avenue for addressing these challenges. By extending traditional methods to incorporate fractional derivatives and integrals, we aim to unlock new perspectives in understanding and modeling nonlinear wave phenomena in higher-dimensional spaces. Through detailed exploration of methodologies, thorough analysis of results, and critical evaluation of findings, this paper offers insights into the potential of fractional calculus approaches in advancing our understanding of higher-dimensional nonlinear equations.

Keywords: Fractional Calculus, Kudryashov-Sinelshchilov Equation, Higher Dimensions, Nonlinear Partial Differential Equations, Wave Propagation.