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Warianty tytułu
Języki publikacji
Abstrakty
Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order q, 0 < q ≤ 1, are presented without requiring Hölder continuity assumption. Monotone method is developed for finite systems of fractional differential equations of order q, using coupled upper and lower solutions. Existence of minimal and maximal solutions of the nonlinear fractional differential system is proved.
Czasopismo
Rocznik
Tom
Strony
327--339
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
Bibliografia
- [1] Z. Denton, A. Vatsala, Fractional integral inequalities and applications, Comput. Math. Appl. 59 (2010), 1087–1094.
- [2] A. Kilbas, H. Srivastava, J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, North Holland, 2006.
- [3] G. Ladde, V. Lakshmikantham, A. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman Publishing Inc., 1985.
- [4] V. Lakshmikantham, S. Leela, D. Vasundhara, Theory of fractional dynamic systems, Cambridge Scientific Publishers, 2009.
- [5] B. Oldham, J. Spanier, The Fractional Calculus, Academic Press, New York – London, 2002.
- [6] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
- [7] J.D. Ramírez, A.S. Vatsala, Monotone iterative technique for fractional differential equations with periodic boundary conditions, Opuscula Math. 29 (2009) 3, 289–304.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0062