Abstract
We consider an initial value problem for a class of nonlinear fractional differential equations involving Hilfer fractional derivative. We prove existence and uniqueness of global solutions in the space of weighted continuous functions. The stability of the solution for a weighted Cauchy-type problem is also analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | 1616-1626 |
| Number of pages | 11 |
| Journal | Computers and Mathematics with Applications |
| Volume | 64 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 2012 |
Bibliographical note
Funding Information:The authors are grateful for the support provided by King Fahd University of Petroleum and Minerals through the Grant No. IN 101003 and the financial support for the first author by BAE Systems through the PDSR program by the British Council in Saudi Arabia .
Keywords
- Caputo fractional derivative
- Fractional derivatives
- Fractional differential equation
- Generalized Riemann-Liouville fractional derivative
- Riemann-Liouville fractional derivative
ASJC Scopus subject areas
- Modeling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics
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