In this paper, we consider a (continuous) fractional boundary value problem of the form andD ν 0+ is the standard Riemann-Liouville fractional derivative of order ν. We derive the Green's function for this problem and show that it satisfies certain properties. We then use cone theoretic techniques t
On the global existence of solutions to a class of fractional differential equations
✍ Scribed by Dumitru Băleanu; Octavian G. Mustafa
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 434 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 allow for immediate applications of a general comparison type result from [V.
📜 SIMILAR VOLUMES
This work is concerned with the existence of anti-periodic mild solutions for a class of semilinear fractional differential equations where 1 < a < 2, A is a linear densely defined operator of sectorial type of x < 0 on a complex Banach space X and F is an appropriate function defined on phase spac