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Existence Results for a Coupled System of Nonlinear Fractional Differential Equations in Banach Spaces
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Abstract
We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces. A generalized singular type coupled Gronwall inequality system is given to obtain an important a priori bound. Existence results are obtained by using fixed point theorems and an example is given to illustrate the results.
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Application of Fractional Calculus to Fluid Mechanics
José Lage, Vladimir Kulish (2002)
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Boundary value problem for a coupled system of nonlinear fractional differential equations
Xinwei Su (2009)
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The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations
Jin-xuan Fang, Chuan-zhi Bai (2004)
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