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Existence of solutions by coincidence degree theory for Hadamard fractional differential equations at resonance.
- Source :
- Turkish Journal of Mathematics; 2024, Vol. 48 Issue 2, p296-306, 11p
- Publication Year :
- 2024
-
Abstract
- Using the coincidence degree theory of Mawhin and constructing appropriate operators, we investigate the existence of solutions to Hadamard fractional differential equations (FRDEs) at resonance ... where 1 < γ < 2, f: [1, e]×R² → R satisfies Carathéodory conditions, ∫<superscript>e</superscript><subscript>1</subscript> u(t)dA(t) is the Riemann-Stieltjes integration, and (<superscript>H</superscript>D<superscript>γ</superscript>u) is the Hadamard fractional derivation of u of order γ. An example is included to illustrate our result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 48
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176292948
- Full Text :
- https://doi.org/10.55730/1300-0098.3507