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- Title
Solvability of Sequential Fractional Differential Equation at Resonance.
- Authors
Salem, Ahmed; Almaghamsi, Lamya
- Abstract
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.
- Subjects
COINCIDENCE theory; FREDHOLM operators; BOUNDARY value problems; OPERATOR equations; RESONANCE; FRACTIONAL differential equations
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 4, p1044
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11041044