Name
Abstract | ||
|---|---|---|
We consider initial value problems for differential equations of fractional order with uncertainty and present the theory and some numerical methods to solve such type of problems under generalized differentiability conditions. The main tool is Banach fixed point theorem. Also we study the numerical approximation of the solutions of a fuzzy fractional initial value problem by using product trapezoidal and product rectangle formulas; the convergence of the numerical scheme is analyzed rigorously. Finally some numerical examples are provided to illustrate the applicability and usefulness of the obtained results. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.3233/IFS-151547 | JOURNAL OF INTELLIGENT & FUZZY SYSTEMS |
Keywords | Field | DocType |
Fuzzy fractional initial value problem,Banach fixed point theorem,Product trapezoidal rule,Product rectangle rule | Convergence (routing),Banach fixed-point theorem,Differential equation,Mathematical analysis,Fuzzy logic,Rectangle,Differentiable function,Initial value problem,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
28 | 6 | 1064-1246 |
Citations | PageRank | References |
7 | 0.54 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| P. Prakash | 1 | 172 | 7.85 |
| Juan J. Nieto | 2 | 559 | 81.45 |
| S. Senthilvelavan | 3 | 7 | 0.54 |
| G. Sudha Priya | 4 | 7 | 0.54 |