A Class of ψ-Hilfer Fractional Pantograph Equations with Functional Boundary Data at Resonance DOI Creative Commons
Bingzhi Sun,

Shuqin Zhang,

Tian-Hu Yu

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(3), P. 186 - 186

Published: March 17, 2025

In this paper, we explore the outcomes related to existence of nonlocal functional boundary value problems associated with pantograph equations utilizing ψ-Hilfer fractional derivatives. The nonlinear term relies on unknown functions which contain a proportional delay and their derivatives in higher order. We discuss various results for different “smoothness” requirements function by means Mawhin’s coincidence theory at resonance. wrap up providing detailed explanation accompanied an illustration one outcomes.

Language: Английский

A Class of ψ-Hilfer Fractional Pantograph Equations with Functional Boundary Data at Resonance DOI Creative Commons
Bingzhi Sun,

Shuqin Zhang,

Tian-Hu Yu

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(3), P. 186 - 186

Published: March 17, 2025

In this paper, we explore the outcomes related to existence of nonlocal functional boundary value problems associated with pantograph equations utilizing ψ-Hilfer fractional derivatives. The nonlinear term relies on unknown functions which contain a proportional delay and their derivatives in higher order. We discuss various results for different “smoothness” requirements function by means Mawhin’s coincidence theory at resonance. wrap up providing detailed explanation accompanied an illustration one outcomes.

Language: Английский

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