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Existence of solutions by coincidence degree theory for Hadamard fractional differential equations at resonance.

Authors :
BOHNER, Martin
DOMOSHNITSKY, Alexander
PADHI, Seshadev
SRIVASTAVA, Satyam Narayan
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