메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages 1-13

Existence of convex and non convex local solutions for fractional differential inclusions

Author keywords

Extremal solution; Fractional calculus; Maximal solution; Minimal solution: Differential inclusions; Set valued function

Indexed keywords


EID: 59249091275     PISSN: None     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 3042628149 scopus 로고    scopus 로고
    • The upper and lower solution method for differential inclusions via a lattice fixed point theorem
    • R. Agarwal, B. Dhage, D. O'Regan; The upper and lower solution method for differential inclusions via a lattice fixed point theorem. Dynamic System Appl. 12(2003), 1-7.
    • (2003) Dynamic System Appl , vol.12 , pp. 1-7
    • Agarwal, R.1    Dhage, B.2    O'Regan, D.3
  • 3
    • 0002374543 scopus 로고
    • Existence of solutions for a class of nonlinear evolution equation with non-monotone perturbation
    • N. U. Ahmed, X. Xing; Existence of solutions for a class of nonlinear evolution equation with non-monotone perturbation. Nonlinear Anl. 22(1994), 81-89.
    • (1994) Nonlinear Anl , vol.22 , pp. 81-89
    • Ahmed, N.U.1    Xing, X.2
  • 5
    • 11244300066 scopus 로고    scopus 로고
    • A fixed point theorem for multivalued mappings, Electronic J
    • C. Avramescu; A fixed point theorem for multivalued mappings, Electronic J. Qualitative Theory of Differential Equations, Vol. 17 (2004), 1-10.
    • (2004) Qualitative Theory of Differential Equations , vol.17 , pp. 1-10
    • Avramescu, C.1
  • 8
    • 0003211244 scopus 로고
    • Convex Analysis and Measurable Multifunctions
    • Springer-Verlag, Berline-Heidelberg-New York
    • C. Castaing, M. Valadier; Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics Vol. 580, Springer-Verlag, Berline-Heidelberg-New York. 1977.
    • (1977) Lecture Notes in Mathematics , vol.580
    • Castaing, C.1    Valadier, M.2
  • 10
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • K. Diethelm, N. Ford; Analysis of fractional differential equations, J.Math.Anal.Appl.,265(2002)229-248.
    • (2002) J.Math.Anal.Appl , vol.265 , pp. 229-248
    • Diethelm, K.1    Ford, N.2
  • 11
    • 30944447642 scopus 로고    scopus 로고
    • Multi-valued, operators and, fixed point theorem in Banach algebras
    • B. C. Dhage; Multi-valued, operators and, fixed point theorem in Banach algebras, Taiwanese J. of. Math. Vol. 10(2006), 1025-1045.
    • (2006) Taiwanese J. of. Math , vol.10 , pp. 1025-1045
    • Dhage, B.C.1
  • 12
    • 3042698236 scopus 로고    scopus 로고
    • The method upper and lower solutions for Caratheodory n-th order differential inclusions
    • B. Dhage, T. Holambe, S. Ntouyas; The method upper and lower solutions for Caratheodory n-th order differential inclusions. Electron. J. Diff. Eqns. Vol. 2004(2004) No. 08, 1-9.
    • (2004) Electron. J. Diff. Eqns , vol.2004 , Issue.8 , pp. 1-9
    • Dhage, B.1    Holambe, T.2    Ntouyas, S.3
  • 13
    • 0011639086 scopus 로고
    • Multi-valued fractional differential equations
    • A. M. A. El-Sayed, A. G. Ibrahim; Multi-valued fractional differential equations, Appl. Math. Comput. 68(1995), 15-25.
    • (1995) Appl. Math. Comput , vol.68 , pp. 15-25
    • El-Sayed, A.M.A.1    Ibrahim, A.G.2
  • 14
    • 0035252785 scopus 로고    scopus 로고
    • Set valued integral equations of fractional-orders
    • A. M. A. El-Sayed, A. G. Ibrahim; Set valued integral equations of fractional-orders, Appl. Math, and Comp. 118(2001), 113-121.
    • (2001) Appl. Math, and Comp , vol.118 , pp. 113-121
    • El-Sayed, A.M.A.1    Ibrahim, A.G.2
  • 16
    • 59249084285 scopus 로고    scopus 로고
    • S. Hu, N. S. Papageeorgion; Handbook of Multivalued Analysis, I: Theory. Kluwer, Dordrecht, 1997.
    • S. Hu, N. S. Papageeorgion; Handbook of Multivalued Analysis, Vol. I: Theory. Kluwer, Dordrecht, 1997.
  • 17
    • 0003600306 scopus 로고    scopus 로고
    • Handbook of Multivalued Analysis
    • Kluwer, Dordrecht
    • S. Hu, N. S. Papageeorgion; Handbook of Multivalued Analysis, Vol. II: Applications. Kluwer, Dordrecht, 2000.
    • (2000) Applications , vol.2
    • Hu, S.1    Papageeorgion, N.S.2
  • 18
    • 59249090818 scopus 로고    scopus 로고
    • A. G. Ibrahim, A. M. A. El-Sayed; Define integral of fractional order for set valued function, J. Frac. Calculus 11 (1997).
    • A. G. Ibrahim, A. M. A. El-Sayed; Define integral of fractional order for set valued function, J. Frac. Calculus 11 (1997).
  • 19
    • 38248998633 scopus 로고
    • Solvability of functional evolutions via compactness methods in general Banach spaces
    • A. G. Kartsatos, K. Y. Shin; Solvability of functional evolutions via compactness methods in general Banach spaces. Nonlinear Anal., 21(1993), 517-535.
    • (1993) Nonlinear Anal , vol.21 , pp. 517-535
    • Kartsatos, A.G.1    Shin, K.Y.2
  • 21
    • 0003223705 scopus 로고
    • Generalized Fractional Calculus and Applications
    • Longman/Wiley, New York
    • V. Kiryakova; Generalized Fractional Calculus and Applications, Pitman Res. Notes Math. Ser., Vol. 301, Longman/Wiley, New York, 1994.
    • (1994) Pitman Res. Notes Math. Ser , vol.301
    • Kiryakova, V.1
  • 25
    • 0343456302 scopus 로고
    • The Fractional Calculus, Math
    • Acad. Press, New York/London
    • K. B. Oldham and J. Spanier; The Fractional Calculus, Math, in Science and Engineering, Acad. Press, New York/London, 1974.
    • (1974) Science and Engineering
    • Oldham, K.B.1    Spanier, J.2
  • 26
    • 0003238540 scopus 로고
    • Nonlinear Evolution Operators arid Semigroups
    • Springer, Berlin
    • N. H. Pavel; Nonlinear Evolution Operators arid Semigroups, Lecture Notes in Mathematics, Vol. 1260. Springer, Berlin, 1987.
    • (1987) Lecture Notes in Mathematics , vol.1260
    • Pavel, N.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.