Partial Hyperbolic Functional Differential Inclusions
作者： Saïd Abbas , Mouffak Benchohra , Gaston M. N’Guérékata
DOI: 10.1007/978-1-4614-4036-9_4
关键词:
摘要: In this chapter, we shall present existence results for some classes of initial value problems partial hyperbolic differential inclusions with fractional order involving the Caputo derivative, when right-hand side is convex as well nonconvex valued. Some rely on nonlinear alternative Leray–Schauder type. other results, use fixed-point theorem contraction multivalued maps due to Covitz and Nadler.
springer.com
springerlink.com参考文章(195)
Michel Valadier, Charles Castaing, Convex analysis and measurable multifunctions ,(1977)
Yoshiyuki Hino, Toshiki Naito, Satoru Murakami, Functional Differential Equations With Infinite Delay ,(1991)
Francesco Mainardi, Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics arXiv: Statistical Mechanics. ,(2001)
C. Corduneanu, Integral equations and applications ,(1991)
Alberto Bressan, Giovanni Colombo, Extensions and selections of maps with decomposable values Studia Mathematica. ,vol. 90, pp. 69- 86 ,(1988) , 10.4064/SM-90-1-69-86
Rabha W. Ibrahim, Hamid A. Jalab, Existence of the solution of fractional integral inclusion with time delay Miskolc Mathematical Notes. ,vol. 11, pp. 139- ,(2010) , 10.18514/MMN.2010.216
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
S.A. Marano, V. Staicu, On the Set of Solutions to a Class of Nonconvex Nonclosed Differential Inclusions Acta Mathematica Hungarica. ,vol. 76, pp. 287- 301 ,(1997) , 10.1023/A:1006533606338
Jean Baptiste Joseph Fourier, Théorie Analytique de la Chaleur Cambridge University Press. ,(2009) , 10.1017/CBO9780511693229
Bashir Ahmad, Juan J Nieto, None, Existence of Solutions for Impulsive Anti-periodic Boundary Value Problems of Fractional Order Taiwanese Journal of Mathematics. ,vol. 15, pp. 981- 993 ,(2011) , 10.11650/TWJM/1500406279