New Caputo fractional differential equation of higher order on unbounded interval and solvability in the Hölder space C 0 , q ( Ω ) $C^{0,q}(\Omega )$

Abstract We define a new Caputo fractional differential equation of higher-order on unbounded interval { D α c w ( t ) = f ( t ) , 0 ≤ t < ∞ , w ( 0 ) = w ′ ( 0 ) = w ( 4 ) ( 0 ) = w ( 5 ) ( 0 ) = ⋯ = w ( n ) ( 0 ) = 0 , w ‴ ( 0 ) = ∫ 0 η ( η − s ) α − 1 Γ ( α ) f ( s ) d s , lim t → ∞ c D α − 1 w (...

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Autori principali:	Hojjatollah Amiri Kayvanloo, Farzaneh Pouladi Najafabadi, Ekrem Savaş, Mohammad Mursaleen
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	SpringerOpen 2026-03-01
Serie:	Journal of Inequalities and Applications
Soggetti:	Measures of noncompactness Darbo’s fixed point theorem Fractional boundary value problem Hölder space
Accesso online:	https://doi.org/10.1186/s13660-026-03456-1
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