Existence and uniqueness of nonlocal boundary conditions for Hilfer–Hadamard-type fractional differential equations

Abstract In this paper, we use some fixed point theorems in Banach space for studying the existence and uniqueness results for Hilfer–Hadamard-type fractional differential equations D α , β H x ( t ) + f ( t , x ( t ) ) = 0 $$ {}_{\mathrm{H}}D^{\alpha ,\beta }x(t)+f\bigl(t,x(t)\bigr)=0 $$ on the int...

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Bibliographic Details

Published in:	Advances in Difference Equations
Main Authors:	Ahmad Y. A. Salamooni, D. D. Pawar
Format:	Article
Language:	English
Published:	SpringerOpen 2021-04-01
Subjects:	Existence Uniqueness Nonlinear boundary value problems Hilfer–Hadamard type Fractional differential equation and fractional calculus
Online Access:	https://doi.org/10.1186/s13662-021-03358-0