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- Title
Exploring solutions to specific class of fractional differential equations of order 3<uˆ≤4.
- Authors
Aljurbua, Saleh Fahad
- Abstract
This paper focuses on exploring the existence of solutions for a specific class of FDEs by leveraging fixed point theorem. The equation in question features the Caputo fractional derivative of order 3 < u ˆ ≤ 4 and includes a term Θ (β , Z (β)) alongside boundary conditions. Through the application of a fixed point theorem in appropriate function spaces, we consider nonlocal conditions along with necessary assumptions under which solutions to the given FDE exist. Furthermore, we offer an example to illustrate the results.
- Subjects
CAPUTO fractional derivatives; FUNCTION spaces; FRACTIONAL differential equations; FIXED point theory; DIFFERENTIAL equations
- Publication
Boundary Value Problems, 2024, Vol 2024, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-024-01878-8