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arXiv · 1802.04262

Existence and Uniqueness of Nonlocal Boundary Conditions for Hilfer-Hadamard-Type Fractional Differential Equations

Ahmad Y. A. Salamooni·D. D. Pawar
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Abstract

In this paper, we used some theorems of fixed point for studying the results of existence and uniqueness for Hilfer-Hadamard-Type fractional differential equations, \[_{H}D^{\alpha,\beta}x(t)+f(t,x(t))=0, \hbox{ on the interval } J:=(1,e]\] with nonlinear boundary value problems \[x(1+\epsilon)=\sum_{i=1}^{n-2}\nu_{i}x(\zeta_{i}), \quad\quad\quad~_{H}D^{1,1}x(e) = \sum_{i=1}^{n-2} \sigma_i~_{H} D^{1,1}x(\zeta_{i})\]

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Ahmad Y. A. Salamooni, D. D. Pawar. 2018-02-12. Existence and Uniqueness of Nonlocal Boundary Conditions for Hilfer-Hadamard-Type Fractional Differential Equations. https://arxiv.org/abs/1802.04262

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