Numerical methods for multi-term fractional (arbitrary) orders differential equations

• Published in: Applied mathematics and computation Vol. 160; no. 3; pp. 683 - 699
• Main Authors: El-Mesiry, A.E.M., El-Sayed, A.M.A., El-Saka, H.A.A.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 27.01.2005; Elsevier
• Subjects: Approximations and expansions; Caputo derivative; Euler's method; Exact sciences and technology; Mathematical analysis; Mathematics; Multi-term fractional differential equation; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation; Ordinary differential equations; Product rectangle rule; Product trapezoidal quadrature formula; Sciences and techniques of general use; Sequences, series, summability; Multi-term fractional differential equation; Product rectangle rule; Product trapezoidal quadrature formula; Caputo derivative; Euler's method; Numerical approximation; Numerical analysis; Product trapezoidal quadrature Formula: Product rectangle rule; Cubature; Differential equation; Applied mathematics; Numerical method; Quadrature formula; Euler scheme
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2003.11.026

Our main concern here is to give a numerical scheme to solve a nonlinear multi-term fractional (arbitrary) orders differential equation.