Time-fractional integro-differential equations in power growth function spaces

被引：0

作者：

Tran, Phung Dinh ^{[1
]}

Dinh, Duc Thanh ^{[2
]}

Vu, Tuan Kim ^{[3
]}

Garayev, M. ^{[4
]}

Guediri, H. ^{[4
]}

机构：

[1] Univ Finance Mkt, Dept Math & Stat, Ho Chi Minh City, Vietnam

[2] Quy Nhon Univ, Dept Math & Stat, Binh Dinh, Vietnam

[3] Univ West Georgia, Dept Comp & Math, Carrollton, GA 30118 USA

[4] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2023年 / 26卷 / 02期

关键词：

Functions with square average power growth (primary); Laplace transform; Caputo fractional derivative; Riemann-Liouville fractional derivative; Time-fractional integro-differential equation; Inverse fractional equation; INVERSE PROBLEM; CALCULUS;

D O I：

10.1007/s13540-023-00131-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the global solvability of Riemann-Liouville and Caputo time-fractional integro-differential equations in a space of functions with square average power growth. We prove the uniqueness of corresponding inverse problems for one point observation.

引用

页码：751 / 780

页数：30

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