Existence of solutions for a fractional nonlocal boundary value problem-Reference-Cited by-同舟云学术

Existence of solutions for a fractional nonlocal boundary value problem

Published:2020-09-30 Issue:3 Volume:36 Page:453-462
ISSN:1843-4401
Container-title:Carpathian Journal of Mathematics
language:
Short-container-title:CJM

Author:

LUCA RODICA¹

Affiliation:

1. DEPARTMENT OF MATHEMATICS GH. ASACHI TECHNICAL UNIVERSITY 11 BLVD. CAROL I, 700506, IAS¸I, ROMANIA Email address: rluca@math.tuiasi.ro

Abstract

We investigate the existence of solutions for a Riemann-Liouville fractional differential equation with a nonlinearity dependent of fractional integrals, subject to nonlocal boundary conditions which contain various fractional derivatives and Riemann-Stieltjes integrals. In the proof of our main results we use different fixed point theorems.

Publisher

Technical University of Cluj Napoca, North University Center of Baia Mare

Subject

General Mathematics

Reference21 articles.

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3. [3] Ahmad, B. and Luca, R., Existence of solutions for a system of fractional differential equations with coupled nonlocal boundary conditions, Fract. Calc. Appl. Anal., 21 (2018), No. 2, 423–441

4. [4] Ahmad, B. and Luca, R., Existence of solutions for sequential fractional integro-differential equations and inclusions with nonlocal boundary conditions, Appl. Math. Comput., 339 (2018), 516–534

5. [5] Ahmad B. and Ntouyas, S. K., Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions, Appl. Math. Comput., 266 (2015), 615–622

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