Correctness of Cauchy-Type Problems for Abstract Differential Equations with Fractional Derivatives

被引：0

作者：

Glushak, A. V. ^{[1
]}

机构：

[1] Belgorod State Univ, Ul Studencheskaya 14, Belgorod 308007, Russia

来源：

RUSSIAN MATHEMATICS | 2009年 / 53卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

equations of fractional order; uniform correctness of Cauchy-type problem; resolving operator;

D O I：

10.3103/S1066369X09090023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the uniform correctness of a Cauchy-type problem with two fractional derivatives and a bounded operator A. We propose a criterion for the uniform correctness of unbounded operator A.

引用

页码：10 / 19

页数：10

共 50 条

[41] Estimates for the modulus of a cauchy-type integral and its derivatives
Gerus O.F.
Ukrainian Mathematical Journal, 1999, 51 (6) : 813 - 826
[42] RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS AND DERIVATIVES ON MORREY SPACES AND APPLICATIONS TO A CAUCHY-TYPE PROBLEM∗
Wu, Jinxia
Wu, Qingyan
Yang, Yinuo
Dang, Pei
Ren, Guangzhen
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (02): : 1078 - 1096
[43] On the modulus of continuity of solid derivatives of a Cauchy-type integral
Gerus O.F.
Ukrainian Mathematical Journal, 1998, 50 (4) : 539 - 549
[44] Direct and Inverse Fractional Abstract Cauchy Problems
Al Horani, Mohammed
Favini, Angelo
Tanabe, Hiroki
MATHEMATICS, 2019, 7 (11)
[45] Abstract Cauchy problems for the generalized fractional calculus
Ascione, Giacomo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 209
[46] The Cauchy problems for q-difference equations with the Caputo fractional derivatives
Shaimardan, S.
Tokmagambetov, N. S.
Temirkhanova, A. M.
JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2022, 113 (01): : 43 - 57
[47] Stability of Cauchy-type Singular Integral Equations over an Interval
Yong Jia Xu
Acta Applicandae Mathematica, 2004, 84 : 263 - 277
[48] SINGULARLY PERTURBED INTEGRAL-EQUATIONS WITH CAUCHY-TYPE KERNELS
BOGLAEV, YP
ZHDANOV, AV
DOKLADY AKADEMII NAUK SSSR, 1975, 225 (05): : 993 - 996
[49] Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations
Schneider B.
Ukrainian Mathematical Journal, 2006, 58 (1) : 118 - 126
[50] Boundary value problems for differential equations with fractional derivatives
Aleroev, Temirkhan
Kekharsaeva, Elmira
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (12) : 900 - 908

← 1 2 3 4 5 →