Existence of Solutions to a System of Fractional Differential Equations With Applications to Beam Deflections
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5629Keywords:
Nonlinear system, fractional derivative, Tanh’s method, traveling wave solution, evaluation metrics.Abstract
In this manuscript, we introduce a novel system of fractional differential equations incorporating both Caputo and conformable derivatives. We delve into the existence and uniqueness of solutions for this system, employing fixed-point techniques under appropriate conditions. To illustrate the practical applications of our theoretical findings, we investigate the traveling wave solutions of a tripled system of conformable fractional differential equations. Our analysis provides valuable insights into the dynamics and behavior of complex systems modeled by fractional differential equations.
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Copyright (c) 2025 Hasanen A. Hammad, Manal Elzain Mohamed Abdalla

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