Existence results on nonlinear fractional differential inclusions
Copyright policy )Existence results on nonlinear fractional differential inclusions
In this paper, we study the existence of solution for a boundary value problem of nonlinear fractional differential inclusion of order $\alpha\in(0,1)$ with initial boundary value problems (BVP for short) and the standard Riemann-Liouville fractional derivative. Our approach is based on the topological transversality method in fixed point theory. we use a powerful method due to Granas to prove the existnce of solution to BVP . Granas method is commonly as topological transversality and relies on the idea of an essential map. The method has been highly useful proving existence of solutions for initial and boundary value problem for integer order differential equations.
- Qom Islamic Azad University Iran (Islamic Republic of)
- Islamic Azad University, Tehran Iran (Islamic Republic of)
Nonlinear boundary value problems for ordinary differential equations, Riemann-Liouville derivative, fixed point, QA1-939, Fractional ordinary differential equations, fractional differential inclusion, Mathematics, Ordinary differential inclusions
Nonlinear boundary value problems for ordinary differential equations, Riemann-Liouville derivative, fixed point, QA1-939, Fractional ordinary differential equations, fractional differential inclusion, Mathematics, Ordinary differential inclusions
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