2013/12/20 by İsmail Aslan · 1 citation
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems #Mathematics #Trigonometry #Fractional calculus #Type (biology) #Rational function #Computation #Applied mathematics #Differential equation #Class (philosophy) #Algebra over a field #Symbolic computation #Mathematical analysis #Pure mathematics #Algorithm #Computer science
paper · pdf · doi:10.1002/mma.3047
openalex publication_date 2013/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
Fractional derivatives are powerful tools in solving the problems of science and engineering. In this paper, an analytical algorithm for solving fractional differential‐difference equations in the sense of Jumarie's modified Riemann–Liouville derivative has been described and demonstrated. The algorithm has been tested against time‐fractional differential‐difference equations of rational type via symbolic computation. Three examples are given to elucidate the solution procedure. Our analyses lead to closed form exact solutions in terms of hyperbolic, trigonometric, and rational functions, which might be subject to some adequate physical interpretations in the future. Copyright © 2013 John Wiley & Sons, Ltd.