Solvability of Sequential Fractional Differential Equation at Resonance

The sequential fractional differential equations at resonance are introduced subject to three-point boundary conditions. The emerged fractional derivative operators in these equations are based on the Caputo derivative of order that lies between 1 and 2. The vital target of the current contribution...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2023-02, Vol.11 (4), p.1044
Main Authors: Salem, Ahmed, Almaghamsi, Lamya
Format: Article
Language:English
Subjects:
Biology
Boundary conditions
Boundary value problems
Calculus
coincidence degree theory
Differential equations
Engineering
Fractional calculus
Growth rate
Mathematical analysis
Mathematical research
Operators (mathematics)
Ordinary differential equations
Partial differential equations
Projectors
Quantum physics
Resonance
Schrodinger equation
sequential fractional differential equations
Spacetime
three-point boundary conditions
Water waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The sequential fractional differential equations at resonance are introduced subject to three-point boundary conditions. The emerged fractional derivative operators in these equations are based on the Caputo derivative of order that lies between 1 and 2. The vital target of the current contribution is to investigate the existence of a solution for the boundary value problem by using the coincidence degree theory due to Mawhin which is basically depending on the Fredholm operator with index zero and two continuous projectors. An example is given to illustrate the deduced theoretical results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11041044