The existence of solutions for a nonlinear mixed problem of singular fractional differential equationsReportar como inadecuado




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Advances in Difference Equations

, 2013:359

First Online: 11 December 2013Received: 27 May 2013Accepted: 28 August 2013

Abstract

By using fixed point results on cones, we study the existence of solutions for the singular nonlinear fractional boundary value problem

D α c u t = f t , u t , u ′ t , c D β u t , u 0 = a u 1 , u ′ 0 = b c D β u 1 , u ″ 0 = u ‴ 0 = u n − 1 0 = 0 , where n ≥ 3 is an integer, α ∈ n − 1 , n , 0 < β < 1 , 0 < a < 1 , 0 < b < Γ 2 − β , f is an L q -Caratheodory function, q > 1 α − 1 and f t , x , y , z may be singular at value 0 in one dimension of its space variables x, y, z. Here, D stands for the Caputo fractional derivative.

Keywordsboundary value problem fixed point fractional differential equation Green function regularization singular  Download fulltext PDF



Autor: Dumitru Baleanu - Hakimeh Mohammadi - Shahram Rezapour

Fuente: https://link.springer.com/







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