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

2018/02/12 by Salamooni, Ahmad Y. A., Pawar, D. D.
#34A08 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.04262

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, _HD^α,βx(t)+f(t,x(t))=0, \hbox on the interval J:=(1,e] with nonlinear boundary value problems x(1+ε)=∑_i=1^n-2ν_ix(ζ_i), ~_HD^1,1x(e) = ∑_i=1^n-2 σ_i~_H D^1,1x(ζ_i)

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