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Article

Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions

1
Institute of Mathematics and Mechanics, ANAS, AZ1141 Baku, Azerbaijan
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Department of Mathematical Methods of Applied Analysis, Baku State University, AZ1148 Baku, Azerbaijan
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Department of Mathematics and Informatics, Azerbaijan University, AZ1007 Baku, Azerbaijan
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Institute of Physical Problems, Baku State University, AZ1148 Baku, Azerbaijan
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Engineering School, DEIM, Tuscia University, 01100 Viterbo, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Amar Debbouche
Received: 29 December 2020 / Revised: 29 January 2021 / Accepted: 3 February 2021 / Published: 5 February 2021
(This article belongs to the Special Issue Fractional Order Systems: Deterministic and Stochastic Analysis)
This paper considers boundary value problem (BVP) for nonlinear first-order differential problems with multipoint and integral boundary conditions. A suitable Green function was constructed for the first time in order to reduce this problem into a corresponding integral equation. So that by using the Banach contraction mapping principle (BCMP) and Schaefer’s fixed point theorem (SFPT) on the integral equation, we can show that the solution of the multipoint problem exists and it is unique. View Full-Text
Keywords: existence and uniqueness; ODE; multipoint and integral boundary conditions; Banach contraction map; Green function; Schaefer fixed point existence and uniqueness; ODE; multipoint and integral boundary conditions; Banach contraction map; Green function; Schaefer fixed point
MDPI and ACS Style

Mardanov, M.J.; Sharifov, Y.A.; Gasimov, Y.S.; Cattani, C. Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions. Fractal Fract. 2021, 5, 15. https://0-doi-org.brum.beds.ac.uk/10.3390/fractalfract5010015

AMA Style

Mardanov MJ, Sharifov YA, Gasimov YS, Cattani C. Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions. Fractal and Fractional. 2021; 5(1):15. https://0-doi-org.brum.beds.ac.uk/10.3390/fractalfract5010015

Chicago/Turabian Style

Mardanov, Misir J., Yagub A. Sharifov, Yusif S. Gasimov, and Carlo Cattani. 2021. "Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions" Fractal and Fractional 5, no. 1: 15. https://0-doi-org.brum.beds.ac.uk/10.3390/fractalfract5010015

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