Abstract
In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation D 0+u + aD 0+u = w(t)f(u), 1 < 2, 0 1, and the Dirichlet boundary condition. The associated Green's function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.
Original language | English (US) |
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Pages (from-to) | 497-504 |
Number of pages | 8 |
Journal | Communications in Applied Analysis |
Volume | 19 |
State | Published - 2015 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics