Existence and oscillatory results for Caputo-Fabrizio fractional differential equations and inclusions

Said Abbas; Mouffak Benchohra; Seenith Sivasundaram; Cemil Tunc

Said Abbas Department of Mathematics, University of Saida--Dr. Moulay Tahar, \\ P.O. Box 138, EN-Nasr, 20000 Saida, Algeria
Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb\`es,\\ P.O. Box 89, Sidi Bel-Abb\`es 22000, Algeria
Seenith Sivasundaram
Cemil Tunc Department of Mathematics, Faculty of Sciences \\ Van Yuzuncu Yil University, 65080, Campus, Van-Turkey

Abstract

In this paper; by using set-valued analysis, fixed point theory, and the method of upper and lower solutions, we prove some existence, oscillatory and nonoscillatory results for some classes of Caputo-Fabrizio fractional differential equations and inclusions