期刊论文详细信息
Advances in Difference Equations | |
Existence and uniqueness of nonlocal boundary conditions for Hilfer–Hadamard-type fractional differential equations | |
article | |
Salamooni, Ahmad Y. A.1  Pawar, D. D.2  | |
[1] Department of Mathematics, Faculty of Education Zabid, Hodeidah University;School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University | |
关键词: Existence; Uniqueness; Nonlinear boundary value problems; Hilfer–Hadamard type; Fractional differential equation and fractional calculus; | |
DOI : 10.1186/s13662-021-03358-0 | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 摘 要 】
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$$ {}_{\mathrm{H}}D^{\alpha ,\beta }x(t)+f\bigl(t,x(t)\bigr)=0 $$ on the interval$(1,e]$ with nonlinear boundary conditions$$ x(1+\epsilon )=\sum_{i=1}^{n-2}\nu _{i}x(\zeta _{i}),\qquad {}_{\mathrm{H}}D^{1,1}x(e)= \sum_{i=1}^{n-2} \sigma _{i}\, {}_{\mathrm{H}}D^{1,1}x( \zeta _{i}). $$.
【 授权许可】
CC BY
【 预 览 】
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