Lyapunov-type inequalities for Hilfer fractional boundary value problems

被引：0

作者：

Jonnalagadda, Jagan Mohan ^{[1
]}

机构：

[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad 500078, Telangana, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 02期

关键词：

Hilfer-Hadamard fractional derivative; boundary value problem; Green's function; Lyapunov-type inequality;

D O I：

10.1142/S1793557124500153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with fractional boundary value problems involving the Hilfer-Hadamard fractional differential operator of order 1 < alpha <= 2 and type 0 <= beta <= 1. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer-Hadamard fractional boundary value problems (HFBVPs) involving separated and anti-periodic boundary conditions. For this purpose, we construct the associated Green's functions and deduce their important properties.

引用

页数：15

共 14 条

[1]

Agarwal R.P., 2021, Lyapunov Inequalities and Applications

[2]

Cheng S.S., 1983, Hokkaido Math. J, V12, P105, DOI [10.14492/hokmj/1381757783, DOI 10.14492/HOKMJ/1381757783]

[3] A Lyapunov-type inequality for a fractional boundary value problem [J].

Ferreira, Rui A. C. .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (04) :978-984

[4]

Hilfer R., 2000, Applications of Fractional Calculus in Physics

[5] OPERATIONAL CALCULUS FOR THE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE WITH RESPECT TO A FUNCTION AND ITS APPLICATIONS [J].

Fahad, Hafiz Muhammad ;

Fernandez, Arran .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (02) :518-540

[6]

Kilbas A.A., 2006, THEORY APPL FRACTION, V204, DOI DOI 10.1016/S0304-0208(06)80001-0

[7]

Lyapunov A., 1907, ANN FACUL SCI TOULOU, V2, P203, DOI [10.5802/afst.246, DOI 10.5802/AFST.246]

[8]

Ntouyas S. K., 2022, FRACTAL FRACT, V6, P1

[9]

Ntouyas S.K., 2019, Differential and Integral Inequalities

[10]

Pinasco JP, 2013, SPRINGERBRIEF MATH, P1, DOI 10.1007/978-1-4614-8523-0

← 1 2 →