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EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL.
- Source :
-
Fractals . Jun2024, p1. 10p. - Publication Year :
- 2024
-
Abstract
- This paper presents the following AB-Caputo fractional boundary value problem 0ABCDαu(ς) = 픖(ς,u(ς)),ς ∈ [0, 1] with integral-type boundary conditions u(0) = 0 = u″(0),γu(1) = λ∫01g 1(ϰ)u(ϰ)dϰ, of order 2 < α ≤ 3. Schauder and Krasnoselskii’s fixed point theorems are used to find existence results. Uniqueness is obtained via the Banach contraction principle. To investigate the stability of a given problem, Hyers–Ulam stability is discussed. An example is provided to validate our results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*FRACTIONAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 178031134
- Full Text :
- https://doi.org/10.1142/s0218348x24400413