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Volumn 49, Issue 5-6, 2009, Pages 1164-1172

Existence and approximation of solutions to fractional differential equations

Author keywords

Analytic semigroup; Banach fixed point theorem; Faedo Galerkin approximations; Fractional differential equations; Mild solution

Indexed keywords

BANACH SPACES; GALERKIN METHODS; MATHEMATICAL OPERATORS; PROGRAMMING THEORY;

EID: 59149098037     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.07.013     Document Type: Article
Times cited : (64)

References (18)
  • 1
    • 44049116967 scopus 로고
    • On the fractional differential equations
    • El-Sayed A.M.A. On the fractional differential equations. Appl. Math. Comput. 49 2-3 (1992) 205-213
    • (1992) Appl. Math. Comput. , vol.49 , Issue.2-3 , pp. 205-213
    • El-Sayed, A.M.A.1
  • 2
    • 0038783134 scopus 로고    scopus 로고
    • Fractional-order evolutionary integral equations
    • El-Sayed A.M.A. Fractional-order evolutionary integral equations. Appl. Math. Comput. 98 (1999) 139-146
    • (1999) Appl. Math. Comput. , vol.98 , pp. 139-146
    • El-Sayed, A.M.A.1
  • 4
    • 42249095179 scopus 로고    scopus 로고
    • A study of nonlocal history-valued retarded differential equations using analytic semigroups
    • Bahuguna D., and Muslim M. A study of nonlocal history-valued retarded differential equations using analytic semigroups. Nonlinear Dyn. Syst. Theory 6 1 (2006) 63-75
    • (2006) Nonlinear Dyn. Syst. Theory , vol.6 , Issue.1 , pp. 63-75
    • Bahuguna, D.1    Muslim, M.2
  • 5
    • 11244294056 scopus 로고    scopus 로고
    • Approximations of solutions to retarded integrodifferential equations
    • Bahuguna D., and Muslim M. Approximations of solutions to retarded integrodifferential equations. Electron. J. Differential Equations 136 (2004) 1-13
    • (2004) Electron. J. Differential Equations , vol.136 , pp. 1-13
    • Bahuguna, D.1    Muslim, M.2
  • 6
    • 0003186923 scopus 로고
    • Zn einem Satz von F.W. Browder über nichtlineare Wellengleichungen
    • Heinz E., and von Wahl W. Zn einem Satz von F.W. Browder über nichtlineare Wellengleichungen. Math. Z. 141 (1974) 33-45
    • (1974) Math. Z. , vol.141 , pp. 33-45
    • Heinz, E.1    von Wahl, W.2
  • 7
    • 0003654169 scopus 로고
    • On linear ordinary and evolution equations
    • Murakami H. On linear ordinary and evolution equations. Funkcial. Ekvac. 9 (1966) 151-162
    • (1966) Funkcial. Ekvac. , vol.9 , pp. 151-162
    • Murakami, H.1
  • 8
    • 0001418965 scopus 로고
    • Nonlinear semigroups
    • Segal I. Nonlinear semigroups. Ann. of Math. 78 (1963) 339-364
    • (1963) Ann. of Math. , vol.78 , pp. 339-364
    • Segal, I.1
  • 10
    • 0003584523 scopus 로고
    • Approximation of wave equations with reproducing nonlinearities
    • Bazley N. Approximation of wave equations with reproducing nonlinearities. Nonlinear Anal. 3 (1979) 539-546
    • (1979) Nonlinear Anal. , vol.3 , pp. 539-546
    • Bazley, N.1
  • 11
    • 0003500571 scopus 로고
    • Global convergence of Faedo-Galerkin approximations to nonlinear wave equations
    • Bazley N. Global convergence of Faedo-Galerkin approximations to nonlinear wave equations. Nonlinear Anal. 4 (1980) 503-507
    • (1980) Nonlinear Anal. , vol.4 , pp. 503-507
    • Bazley, N.1
  • 12
    • 59149094594 scopus 로고    scopus 로고
    • O.K. Jardat, A. Al-Omrai, S. Momani, Existence of the mild solution for fractional semilinear initial value problems, Nonlinear Anal. (2007) (in press)
    • O.K. Jardat, A. Al-Omrai, S. Momani, Existence of the mild solution for fractional semilinear initial value problems, Nonlinear Anal. (2007) (in press)
  • 13
    • 84988147742 scopus 로고
    • Approximation of solutions to evolution equations
    • Miletta P.D. Approximation of solutions to evolution equations. Math. Method Appl. Sci. 17 (1994) 753-763
    • (1994) Math. Method Appl. Sci. , vol.17 , pp. 753-763
    • Miletta, P.D.1
  • 14
    • 33646566293 scopus 로고    scopus 로고
    • Approximation of solutions to history-valued neutral functional differential equations
    • Muslim M. Approximation of solutions to history-valued neutral functional differential equations. Comput. Math. Appl. 51 3-4 (2006) 537-550
    • (2006) Comput. Math. Appl. , vol.51 , Issue.3-4 , pp. 537-550
    • Muslim, M.1
  • 15
    • 0036680930 scopus 로고    scopus 로고
    • Some probability densities and fundamental solutions of fractional differential equations
    • El-Borai M.M. Some probability densities and fundamental solutions of fractional differential equations. Chaos, Soliton and Fractals 14 3 (2002) 433-440
    • (2002) Chaos, Soliton and Fractals , vol.14 , Issue.3 , pp. 433-440
    • El-Borai, M.M.1
  • 16
    • 0021196825 scopus 로고
    • Faedo-Galerkin approximation in equations of evolution
    • Goethel R. Faedo-Galerkin approximation in equations of evolution. Math. Method Appl. Sci. 6 (1984) 41-54
    • (1984) Math. Method Appl. Sci. , vol.6 , pp. 41-54
    • Goethel, R.1
  • 17
    • 2442548776 scopus 로고    scopus 로고
    • Analysis of a system of fractional differential equations
    • Daftardar-Gejji V., and Babakhani A. Analysis of a system of fractional differential equations. J. Math. Anal. Appl. 293 (1999) 511-522
    • (1999) J. Math. Anal. Appl. , vol.293 , pp. 511-522
    • Daftardar-Gejji, V.1    Babakhani, A.2
  • 18
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equation
    • Schneider W.R., and Wayes W. Fractional diffusion and wave equation. J. Math. Phys. 30 1 (1989) 134-144
    • (1989) J. Math. Phys. , vol.30 , Issue.1 , pp. 134-144
    • Schneider, W.R.1    Wayes, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.