This paper deals with the existence, nonexistence, and multiplicity of positive solutions of the coupled system of Riemann-Liouville fractional differential equations together with multipoint boundary conditions containing fractional derivatives at nonlocal points. We use the theory of fixed point index approach to prove our results exhibiting the existence and the nonexistence of positive solutions. © 2019 John Wiley &amp; Sons, Ltd.

Sri Rama Vara Prasad Bhuvanagiri

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Padhi S

Mahendru D.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Mathematical Methods in the Applied Sciences

Systems of Riemann‐Liouville fractional differential equations with nonlocal boundary conditions—Existence, nonexistence, and multiplicity of solutions: Method of fixed point index

We study the existence, uniqueness, and multiplicity of positive solutions for a system of Riemann-Liouville fractional differential equations with multipoint boundary conditions. We use Schauder's and Avery Henderson fixed point theorem to prove our results. © 2019 John Wiley &amp; Sons, Ltd.

System of Riemann‐Liouville fractional differential equations with nonlocal boundary conditions: Existence, uniqueness, and multiplicity of solutions

Proceedings of the Edinburgh Mathematical Society

Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains

Fundamenta Informaticae

Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis

Journal	Data powered by TypesetMathematical Methods in the Applied Sciences
Publisher	Data powered by TypesetWiley
ISSN	0170-4214
Open Access	0