Discontinuity, Nonlinearity, and Complexity
Fractional Differential Equations Involving Hadamard Fractional Derivatives with Nonlocal Multipoint Boundary Conditions
Discontinuity, Nonlinearity, and Complexity 9(3) (2020) 421431  DOI:10.5890/DNC.2020.09.006
Muthaiah Subramanian, Murugesan Manigandan, Thangaraj Nandha Gopal
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore  641 020, Tamilnadu, India
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Abstract
In this paper, we investigate the existence and uniqueness of solutions for the Hadamard fractional boundary value problems with nonlocal multipoint boundary conditions. By using LeraySchauder nonlinear alternative, Leray Schauder degree theory, Krasnoselskii fixed point theorem, Schaefer fixed point theorem, Banach fixed point theorem, Nonlinear Contractions, the existence and uniqueness of solutions are obtained. As an application, two examples are given to demonstrate our results.
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