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- Title
Positive Solutions for Fractional Nonlocal Boundary Value Problems with Dependence on the First Order Derivative.
- Authors
Dehong Ji; Yitao Yang
- Abstract
This research work is dedicated to an investigation of the existence results for a class of fractional nonlocal boundary value problems of the type Dα0+u(t) + f(t; u(t); u'(t)) = 0; 0 < t < 1; 2 < α ≤ 3; u(0) = u'(0) = 0; D β 0+u(1) = ∫n 0 a(t)Dγ0+u(t)dt; where Dα0+ is the standard Riemann-Liouville fractional derivative. A full analysis of existence of positive solutions is proved by using the monotone iterative technique. The interesting point is the nonlinear term f is involved with the first order derivative explicitly. The case f = f(t; u) existence results are proved via Schauder and a classical Krasnosel’skii fixed point theorems.
- Subjects
BOUNDARY value problems; FRACTIONAL differential equations
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p132
- ISSN
1992-9978
- Publication type
Article