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Volumn 71, Issue 11, 2009, Pages 5491-5500

Solvability of a functional integral equation of fractional order in the class of functions having limits at infinity

Author keywords

Banach function space; Fixed point theorem of Darbo type; Integral equation of fractional order; Measure of noncompactness; Superposition operator

Indexed keywords

BANACH FUNCTION SPACE; FIXED POINT THEOREM OF DARBO TYPE; FIXED POINT THEOREMS; FRACTIONAL ORDER; FUNCTION SPACES; FUNCTIONAL INTEGRAL EQUATION; MEASURE OF NONCOMPACTNESS; MEASURES OF NONCOMPACTNESS; REAL FUNCTIONS; SUPERPOSITION OPERATOR;

EID: 68349089235     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.04.037     Document Type: Article
Times cited : (33)

References (26)
  • 1
    • 71549167605 scopus 로고    scopus 로고
    • Boundary value problems for functional differential equations
    • in press
    • R.P. Agarwal, M. Benchohra, S. Hamani, Boundary value problems for functional differential equations, Georgian Math. J. (in press)
    • Georgian Math. J
    • Agarwal, R.P.1    Benchohra, M.2    Hamani, S.3
  • 2
    • 0003361912 scopus 로고
    • Nonlinear Superposition Operators
    • Cambridge University Press
    • Appell J., and Zabrejko P.P. Nonlinear Superposition Operators. Cambridge Tracts in Mathematics vol. 95 (1990), Cambridge University Press
    • (1990) Cambridge Tracts in Mathematics , vol.95
    • Appell, J.1    Zabrejko, P.P.2
  • 4
    • 1242327688 scopus 로고    scopus 로고
    • Differential equations of fractional order: Methods, results, problem I
    • Kilbas A.A., and Trujillo J.J. Differential equations of fractional order: Methods, results, problem I. Appl. Anal. 78 (2001) 153-192
    • (2001) Appl. Anal. , vol.78 , pp. 153-192
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 5
    • 51349163878 scopus 로고    scopus 로고
    • Theory of fractional differential equations in a Banach space
    • Lakshmikantham V., and Devi J.V. Theory of fractional differential equations in a Banach space. Eur. J. Pure Appl. Math. 1 (2008) 38-45
    • (2008) Eur. J. Pure Appl. Math. , vol.1 , pp. 38-45
    • Lakshmikantham, V.1    Devi, J.V.2
  • 10
    • 43949136734 scopus 로고    scopus 로고
    • Fractional generalization of temperature fields problems in oil strata
    • Garh M., Rao A., and Kalla S.L. Fractional generalization of temperature fields problems in oil strata. Mat. Bilten 30 (2006) 71-84
    • (2006) Mat. Bilten , vol.30 , pp. 71-84
    • Garh, M.1    Rao, A.2    Kalla, S.L.3
  • 11
  • 13
    • 0037809667 scopus 로고    scopus 로고
    • On a fractional generalization of free electron laser equation
    • Saxena R.K., and Kalla S.L. On a fractional generalization of free electron laser equation. Appl. Math. Comput. 143 (2003) 89-97
    • (2003) Appl. Math. Comput. , vol.143 , pp. 89-97
    • Saxena, R.K.1    Kalla, S.L.2
  • 14
    • 0012072325 scopus 로고    scopus 로고
    • Operators of fractional integration and their applications
    • Srivastava H.M., and Saxena R.K. Operators of fractional integration and their applications. Appl. Math. Comput. 118 (2001) 1-52
    • (2001) Appl. Math. Comput. , vol.118 , pp. 1-52
    • Srivastava, H.M.1    Saxena, R.K.2
  • 15
    • 0038405057 scopus 로고    scopus 로고
    • Existence of positive solutions of nonlinear functional differential equations
    • Babakhani A., and Daftar-Gejji V. Existence of positive solutions of nonlinear functional differential equations. J. Math. Anal. Appl. 278 (2003) 434-442
    • (2003) J. Math. Anal. Appl. , vol.278 , pp. 434-442
    • Babakhani, A.1    Daftar-Gejji, V.2
  • 16
    • 58249117112 scopus 로고    scopus 로고
    • Existence results for boundary value problems with nonlinear fractional differential equations
    • Benchohra M., Graef J.R., and Hamani S. Existence results for boundary value problems with nonlinear fractional differential equations. Appl. Anal. 87 (2008) 851-863
    • (2008) Appl. Anal. , vol.87 , pp. 851-863
    • Benchohra, M.1    Graef, J.R.2    Hamani, S.3
  • 17
    • 20444364014 scopus 로고    scopus 로고
    • Existence theorem for nonlinear functional integral equations of fractional orders
    • Cichoń M., El-Sayed A.M.A., and Salem H.A.H. Existence theorem for nonlinear functional integral equations of fractional orders. Comment. Math. 41 (2001) 59-67
    • (2001) Comment. Math. , vol.41 , pp. 59-67
    • Cichoń, M.1    El-Sayed, A.M.A.2    Salem, H.A.H.3
  • 18
    • 24744435151 scopus 로고    scopus 로고
    • On quadratic integral equation of fractional orders
    • Darwish M.A. On quadratic integral equation of fractional orders. J. Math. Anal. Appl. 311 (2005) 112-119
    • (2005) J. Math. Anal. Appl. , vol.311 , pp. 112-119
    • Darwish, M.A.1
  • 19
    • 0032115069 scopus 로고    scopus 로고
    • Nonlinear functional differential equations of arbitrary order
    • El-Sayed A.M.A. Nonlinear functional differential equations of arbitrary order. Nonlinear Anal. 33 (1998) 181-186
    • (1998) Nonlinear Anal. , vol.33 , pp. 181-186
    • El-Sayed, A.M.A.1
  • 20
    • 50349092768 scopus 로고    scopus 로고
    • Existence of mild solutions for fractional semilinear initial value problems
    • Juradat O.K., Al-Omari A., and Momani S. Existence of mild solutions for fractional semilinear initial value problems. Nonlinear Anal. 69 (2008) 3153-3159
    • (2008) Nonlinear Anal. , vol.69 , pp. 3153-3159
    • Juradat, O.K.1    Al-Omari, A.2    Momani, S.3
  • 21
    • 43949139899 scopus 로고    scopus 로고
    • On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order
    • Banaś J., and O'Regan D. On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order. J. Math. Anal. Appl. 345 (2008) 573-582
    • (2008) J. Math. Anal. Appl. , vol.345 , pp. 573-582
    • Banaś, J.1    O'Regan, D.2
  • 22
    • 68349099402 scopus 로고    scopus 로고
    • On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order
    • Rzepka B. On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order. Topol. Meth. Nonlin. Anal. 32 (2008) 89-102
    • (2008) Topol. Meth. Nonlin. Anal. , vol.32 , pp. 89-102
    • Rzepka, B.1
  • 23
    • 0003287707 scopus 로고
    • Measures of Noncompactness in Banach Spaces
    • Dekker, New York
    • Banaś J., and Goebel K. Measures of Noncompactness in Banach Spaces. Lect. Notes in Pure and Appl. Math. vol. 60 (1980), Dekker, New York
    • (1980) Lect. Notes in Pure and Appl. Math. , vol.60
    • Banaś, J.1    Goebel, K.2
  • 25
    • 0040251789 scopus 로고
    • Measures of noncompactness in the space of continuous tempered functions
    • Banaś J. Measures of noncompactness in the space of continuous tempered functions. Demonstratio Math. 14 (1981) 127-133
    • (1981) Demonstratio Math. , vol.14 , pp. 127-133
    • Banaś, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.