Existence of solutions to some classes of partial fractional differential equations
β Scribed by Toka Diagana
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 336 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we consider a (continuous) fractional boundary value problem of the form andD Ξ½ 0+ is the standard Riemann-Liouville fractional derivative of order Ξ½. We derive the Green's function for this problem and show that it satisfies certain properties. We then use cone theoretic techniques t
## a b s t r a c t We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allo