✦ LIBER ✦

Analysis of Fractional Differential Equations

✍ Scribed by Kai Diethelm; Neville J. Ford

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 147 KB
Volume: 265
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7194

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Analysis of Fractional Differential Equa

Analysis of Fractional Differential Equations

✍ Kai Diethelm; Neville J. Ford 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 147 KB

We discuss existence, uniqueness, and structural stability of solutions of nonlinear differential equations of fractional order. The differential operators are taken in the Riemann-Liouville sense and the initial conditions are specified according to Caputo's suggestion, thus allowing for interpreta

The homotopy analysis method for handlin

The homotopy analysis method for handling systems of fractional differential equations

✍ Mohammad Zurigat; Shaher Momani; Zaid Odibat; Ahmad Alawneh 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 481 KB

Homotopy analysis method for solving a c

Homotopy analysis method for solving a class of fractional partial differential equations

✍ A. Elsaid 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 866 KB

In this paper, the homotopy analysis method is applied to obtain the solution of fractional partial differential equations with spatial and temporal fractional derivatives in Riesz and Caputo senses, respectively. Some properties of Riesz fractional derivative utilized in obtaining the series soluti

A reliable algorithm of homotopy analysi

A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations

✍ Zaid Odibat; Shaher Momani; Hang Xu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 299 KB

Analytical approximate solutions of syst

Analytical approximate solutions of systems of fractional algebraic–differential equations by homotopy analysis method

✍ Mohammad Zurigat; Shaher Momani; Ahmad Alawneh 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 697 KB

In this paper, we develop a framework to obtain approximate solutions to systems of algebraic-differential equations of fractional order by employing the homotopy analysis method (HAM). The study highlights the efficiency of the method and its dependence on the auxiliary parameter h. Numerical examp

Nonsmooth analysis and fractional differ

Nonsmooth analysis and fractional differential equations

✍ J. Vasundhara Devi; V. Lakshmikantham 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 427 KB

In this paper we study Euler solutions, strong and weak invariance of solutions for fractional differential equations.