In this article, fractional exponential operator is considered as a general approach for solving partial fractional differential equations. An integral representation for this operator is derived from the Bromwich integral for the inverse Mellin transform. Also, effectiveness of this operator for ob
Fractional Divided Differences and the Solution of Differential Equations of Fractional Order
β Scribed by David Elizarraraz; Luis Verde-Star
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 158 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We investigate the existence of positive solutions to the singular fractional boundary value problem: \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$^c\hspace{-1.0pt}D^{\alpha }u +f(t,u,u^{\prime },^c\hspace{-2.0pt}D^{\mu }u)=0$\end{document}, __u__β²(0) = 0
We prove existence and uniqueness theorems for a nonlinear fractional differential equation.
We study the fractional differential equation ( \* ) D Ξ± u(t) where X is a Banach space. Using functional calculus and operator valued Fourier multiplier theorems, we characterize, in U M D spaces, the well posedness of ( \* ) in terms of R-boundedness of the sets {(ik) Ξ± ((ik Applications to the