An existence and uniqueness result for fractional order semilinear functional differential equations with nondense domain

Applied Mathematics Letters

Volumn 24, Issue 6, 2011, Pages 924-928

  Deng, Jiqin ^a   Deng, Ziming ^a   Yang, Liuxiao ^a  

^a XIANGTAN UNIVERSITY   (China)

Author keywords

Banach fixed point theorem; Fractional integral, semigroups, integral solutions; Nondense domain; RiemannLiouville fractional derivative

Indexed keywords

BANACH FIXED-POINT THEOREM; EXISTENCE AND UNIQUENESS OF SOLUTION; EXISTENCE AND UNIQUENESS RESULTS; FRACTIONAL ORDER; FUNCTIONAL DIFFERENTIAL EQUATIONS; INTEGRAL SOLUTIONS; NEW RESULTS; NONDENSE DOMAIN; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES; SEMILINEAR;

INITIAL VALUE PROBLEMS;

DIFFERENTIAL EQUATIONS;

EID: 79952452429     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2010.12.051     Document Type: Article

References (10)

1. D. Baleanu About fractional quantization and fractional variational principles Commun. Nonlinear Sci. Numer. Simul. 14 6 2009 2520 2523
2. A.D. Fitt, A.R.H. Goodwin, and W.A. Wakeham A fractional differential equation for a MEMS viscometer used in the oil industry J. Comput. Appl. Math. 229 2009 373 381
3. R. Magin, X. Feng, D. Baleanu, Concepts in magnetic resonance part A: Bridging education and research, 2009, 34 (1) 1623.
4. M. Belmekki, and M. Benchohra Existence results for fractional order semilinear functional differential equations Proc. A. Razmadze. Math. Inst. 146 2008 9 20
5. M. Belmekki, M. Benchohra, and L. Grniewicz Existence results for fractional order semilinear functional differential equations with infinite delay Fixed Point Theory 9 2 2008 423 439
6. M. Belmekki, M. Benchohra, Existence results for fractional order semilinear functional differential equations with nondense domain, Nonlinear Anal., doi:10.1016/j.na.2009.07.034.
7. Jiqin Deng, and Lifeng Ma Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations Appl. Math. Lett. 23 2010 67668
8. Jiqin Deng, and Hailang Qu New uniqueness results of solutions for fractional differential equations with infinite delay Comput. Math. Appl. 60 2010 2253 2259
9. W. Arendt Resolvent positive operators and integrated semigroup Proc. London Math. Soc. 54 3 1987 321 349
10. I. Podlubny Fractional Differential Equation 1999 Academic Press San Diego