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Volumn 332, Issue 2, 2007, Pages 1371-1379

Monotonic solutions of a quadratic integral equation of fractional order

Author keywords

Hausdorff measure of noncompactness; Integral of fractional order; Nondecreasing solutions; Quadratic integral equation

Indexed keywords


EID: 34247357445     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.11.008     Document Type: Article
Times cited : (99)

References (20)
  • 1
    • 0003361912 scopus 로고
    • Nonlinear Superposition Operators
    • Cambridge Univ. Press
    • Appell J., and Zabrejko P.P. Nonlinear Superposition Operators. Cambridge Tracts in Math. vol. 95 (1990), Cambridge Univ. Press
    • (1990) Cambridge Tracts in Math. , vol.95
    • Appell, J.1    Zabrejko, P.P.2
  • 2
    • 84971139349 scopus 로고
    • Quadratic equations and applications to Chandrasekhar's and related equations
    • Argyros I.K. Quadratic equations and applications to Chandrasekhar's and related equations. Bull. Austral. Math. Soc. 32 (1985) 275-292
    • (1985) Bull. Austral. Math. Soc. , vol.32 , pp. 275-292
    • Argyros, I.K.1
  • 3
    • 0004507915 scopus 로고
    • On a class of quadratic integral equations with perturbations
    • Argyros I.K. On a class of quadratic integral equations with perturbations. Funct. Approx. Comment. Math. 20 (1992) 51-63
    • (1992) Funct. Approx. Comment. Math. , vol.20 , pp. 51-63
    • Argyros, I.K.1
  • 5
    • 0038405057 scopus 로고    scopus 로고
    • Existence of positive solutions of nonlinear fractional differential equations
    • Babakhani A., and Daftardar-Gejji V. Existence of positive solutions of nonlinear fractional differential equations. J. Math. Anal. Appl. 278 (2003) 434-442
    • (2003) J. Math. Anal. Appl. , vol.278 , pp. 434-442
    • Babakhani, A.1    Daftardar-Gejji, V.2
  • 7
    • 1242313975 scopus 로고    scopus 로고
    • Measures of noncompactness related to monotonicity
    • Banaś J., and Olszowy L. Measures of noncompactness related to monotonicity. Comment. Math. 41 (2001) 13-23
    • (2001) Comment. Math. , vol.41 , pp. 13-23
    • Banaś, J.1    Olszowy, L.2
  • 8
    • 0033877082 scopus 로고    scopus 로고
    • On a class of Urysohn-Stieltjes quadratic integral equations and their applications
    • Banaś J., Rodriguez J.R., and Sadarangani K. On a class of Urysohn-Stieltjes quadratic integral equations and their applications. J. Comput. Appl. Math. 113 (2000) 35-50
    • (2000) J. Comput. Appl. Math. , vol.113 , pp. 35-50
    • Banaś, J.1    Rodriguez, J.R.2    Sadarangani, K.3
  • 9
    • 0019612609 scopus 로고
    • Existence theorems for an integral equation of the Chandrasekhar H-equation with perturbation
    • Cahlon B., and Eskin M. Existence theorems for an integral equation of the Chandrasekhar H-equation with perturbation. J. Math. Anal. Appl. 83 (1981) 159-171
    • (1981) J. Math. Anal. Appl. , vol.83 , pp. 159-171
    • Cahlon, B.1    Eskin, M.2
  • 11
    • 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
  • 12
    • 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
  • 13
    • 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
  • 15
    • 0004475314 scopus 로고
    • Integral equations arising in the kinetic theory of gases
    • Hu S., Khavanin M., and Zhuang W. Integral equations arising in the kinetic theory of gases. Appl. Anal. 34 (1989) 261-266
    • (1989) Appl. Anal. , vol.34 , pp. 261-266
    • Hu, S.1    Khavanin, M.2    Zhuang, W.3
  • 16
    • 0020155503 scopus 로고
    • Approximation of solutions of some quadratic integral equations in transport theory
    • Kelly C.T. Approximation of solutions of some quadratic integral equations in transport theory. J. Integral Equations 4 (1982) 221-237
    • (1982) J. Integral Equations , vol.4 , pp. 221-237
    • Kelly, C.T.1
  • 17
    • 1242327688 scopus 로고    scopus 로고
    • Differential equations of fractional order: Methods, results, problems I
    • Kilbas A.A., and Trujillo J.J. Differential equations of fractional order: Methods, results, problems I. Appl. Anal. 78 (2001) 153-192
    • (2001) Appl. Anal. , vol.78 , pp. 153-192
    • Kilbas, A.A.1    Trujillo, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.