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A study on existence of solutions for fractional functional differential equations

  • Autores: Ganga Ram Gautam, Jaydev Dabas
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 69, Fasc. 1, 2018, págs. 25-37
  • Idioma: inglés
  • DOI: 10.1007/s13348-016-0189-8
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this research article, we establish the existence results of mild solutions for semi-linear impulsive neutral fractional order integro-differential equations with state dependent delay subject to nonlocal initial condition by applying well known classical fixed point theorems. At last, we present an example of partial derivative to illuminate the results.

  • Referencias bibliográficas
    • Abbas, S., Benchohra, M.: Impulsive partial hyperbolic functional differential equations of fractional order with state dependent delay. Fract....
    • Agarwal, R.P., Andrade, B., Siracusa, G.: On fractional integro-differential equations with state dependent delay. Comput. Math. Appl. 62,...
    • Araya, D., Lizama, C.: Almost automorphic mild solutions to fractional differential equations. Nonlinear Anal. 69, 3692–3705 (2008)
    • Arjunan, M.M., Kavitha, V.: Existence results for impulsive neutral functional differential equations with state dependent delay. Electron....
    • Shu, X.B., Lai, Y., Chen, Y.: The existence of mild solutions for impulsive fractional partial differential equations. Nonlinear Anal. 74,...
    • Bazhlekova, E.G.: Subordination principle for fractional evolution equations. Fract. Calc. Appl. Anal. 3(3), 213–230 (2000)
    • Benchohra, M., Berhoun, F.: Impulsive fractional differential equations with state dependent delay. Commun. Appl. Anal. 14, 213–224 (2010)
    • Benchohra, M, Litimein, S., Guerekata, G.N.: On fractional integro-differential inclusions with state dependent delay in Banach spaces. Appl....
    • Benchohra, M., Bennihi, O., Ezzinbi, K.: Existence results for some neutral partial functional differential equations of fractional order...
    • Dabas, J., Gautam, G.R.: Impulsive neutral fractional integro-differential equation with state dependent delay and integral boundary condition....
    • Darwish, M.A., Ntouyas, S.K.: Functional differential equations of fractional order with state dependent delay. Dyn. Syst. Appl. 18, 539–550...
    • Darwish, M.A., Ntouyas, S.K.: Semilinear functional differential equations of fractional order with state dependent delay. Electron. J. Differ....
    • Feckan, M., Zhou, Y., Wang, J.: On the concept and existence of solution for impulsive fractional differential equations. Commun. Nonlinear...
    • Feckan, M., Zhou, Y., Wang, J.: Response to “Comments on the concept of existence of solution for impulsive fractional differential equations...
    • Haase, M.: The Functional Calculus for Sectorial Operators, Operator Theory Advances Applications, vol. 169. Birkhauser, Basel (2006)
    • Gautam, G.R., Chauhan, A., Dabas, J.: Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with...
    • Guo, T.L., Jiang, W.: Impulsive fractional functional differential equations. Comput. Math. Appl. 64, 3414–3424 (2012)
    • Henry, D.: Geometric Theory of Semi-linear Parabolic Partial Differential Equations. Springer, Berlin, (1989)
    • Hale, J.K., Kato, J.: Phase space for retarded equations with infinite delay. Funkcialaj Ekvacioj 21, 11–41 (1978)
    • Hernandez, E., Prokopczyk, A., Ladeira, L.: A note on partial functional differential equations with state-dependent delay. Nonlinear Anal....
    • Hino, Y., Murakami, S., Naito, T.: Functional Differential Equations with Infinity Delay. Springer, Berlin (1991)
    • Karthikeyan, K., Anguraj, A.: Solvability of impulsive neutral functional integro-differential inclusions with state dependent delay. J. Appl....
    • Kavitha, V., Wang, V.P., Murugesu, R.: Existence results for neutral functional fractional differential equations with state dependent-delay....
    • Li, F.: Nonlocal cauchy problem for delay fractional integro-differential equations of neutral type. Adv. Differ. Equ. 47, 23 (2012)
    • Liu, Y., Ahmad, B.: A study of impulsive multiterm fractional differential equations with single and multiple base points and applications....
    • Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, Berlin (1983)
    • Podlubny, I.: Fractional Differential Equations. Acadmic Press, New York (1993)
    • Santos, J.P.C., Arjunan, M.M., Cuevas, C.: Existence results for fractional neutral integro-differential equations with state dependent delay....
    • Santos, J.P.C., Cuevas, C., Andrade, B.D.: Existence results for a fractional equation with state dependent delay. Adv Differ Equ. 2011, 15...
    • Wang, J., Feckan, M., Zhou, Y.: On the new concept of solutions and existence results for impulsive fractional evolution equations. Dyn. Partial...
    • Wang, J., Feckan, M., Zhou, Y.: Relaxed controls for nonlinear fractional impulsive evolution equations. J. Optim. Theory Appl. 156, 13–32...
    • Wang, R.N., Ma, Q.H.: Some new results for multi-valued fractional evolution equations. Appl. Math. Comput. 257, 285–294 (2015)
    • Wang, J., Ibrahim, A.G., Feckan, M.: Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces....
    • Yu, C., Gao, G.: Exisence of fractional differential equations. J. Math. Anal. Appl. 310, 26–29 (2005)
    • Zhang, X., Huang, X., Liu, Z.: The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions...

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