Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type

被引：7

作者：

Idczak, Dariusz ^{[1
]}

Skowron, Andrzej ^{[1
]}

Walczak, Stanislaw ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

INTEGRAL BOUNDARY-CONDITIONS; EQUATIONS; EXISTENCE; SPACES; BANACH; ORDER;

D O I：

10.1155/2013/129478

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a theorem on the existence and uniqueness of a solution as well as on a sensitivity (i.e., differentiable dependence of a solution on a functional parameter) of a fractional integrodifferential Cauchy problem of Volterra type. The proof of this result is based on a theorem on diffeomorphism between Banach and Hilbert spaces. The main assumption is the Palais-Smale condition.

引用

页数：8

共 11 条

[1] Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

BOUNDARY VALUE PROBLEMS, 2011, :1-9

[2] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order [J].

Bushnaq, Samia ;

Momani, Shaher ;

Zhou, Yong .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (01) :96-105

[3]

Gayathri B., 2012, International Journal of Mathematical Analysis, V6, P825

[4]

Idczak D, 2012, ADV NONLINEAR STUD, V12, P89

[5] ON THE EXISTENCE AND UNIQUENESS AND FORMULA FOR THE SOLUTION OF R-L FRACTIONAL CAUCHY PROBLEM IN Rn [J].

Idczak, Dariusz ;

Kamocki, Rafal .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (04) :538-553

[6]

Matar M.M., 2011, International Journal of Nonlinear Science, V11, P3

[7]

Michalski M. W., 1993, THESIS POLISH ACAD S

[8]

Samko A. A., 1993, Fractional Integrals andDerivatives: Theory and Applications

[9] Existence results of fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions [J].

Sudsutad, Weerawat ;

Tariboon, Jessada .

BOUNDARY VALUE PROBLEMS, 2012,

[10] Nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces [J].

Wang, JinRong ;

Wei, Wei .

ANNALES POLONICI MATHEMATICI, 2012, 105 (03) :209-223

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