Sabbavarapu Nageswara Rao, Mahammad Khuddush, Ahmed Hussein Msmali, Abdullah Ali H. Ahmadini
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引用次数: 0
Abstract
This paper deals with the existence results of the infinite system of tempered fractional BVPs $$\begin{aligned}& {}^{\mathtt{R}}_{0}\mathrm{D}_{\mathrm{r}}^{\varrho , \uplambda} \mathtt{z}_{\mathtt{j}}(\mathrm{r})+\psi _{\mathtt{j}}\bigl(\mathrm{r}, \mathtt{z}(\mathrm{r})\bigr)=0,\quad 0< \mathrm{r}< 1, \\& \mathtt{z}_{\mathtt{j}}(0)=0,\qquad {}^{\mathtt{R}}_{0} \mathrm{D}_{ \mathrm{r}}^{\mathtt{m}, \uplambda} \mathtt{z}_{\mathtt{j}}(0)=0, \\& \mathtt{b}_{1} \mathtt{z}_{\mathtt{j}}(1)+\mathtt{b}_{2} {}^{ \mathtt{R}}_{0}\mathrm{D}_{\mathrm{r}}^{\mathtt{m}, \uplambda} \mathtt{z}_{\mathtt{j}}(1)=0, \end{aligned}$$ where $\mathtt{j}\in \mathbb{N}$ , $2<\varrho \le 3$ , $1<\mathtt{m}\le 2$ , by utilizing the Hausdorff measure of noncompactness and Meir–Keeler fixed point theorem in a tempered sequence space.
期刊介绍:
The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.