In this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for the nonlinear fractional differential equation boundary-value problem D(Î±)u(t)=f(t,u(t)) with aâ€¦ (More)

In this paper, we shall give some results on existence of the best proximity point of cyclicÏ†-contractions in ordered metric spaces. AMS Subject Classifications:47H04, 47H10.

By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractionalâ€¦ (More)

We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differentialâ€¦ (More)

*Correspondence: emscolar@yahoo.com 2Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania Full list of author information is available at the endâ€¦ (More)

and Applied Analysis 3 Lemma 1.5. Consider X 0,âˆž endowed with the partial metric p : X Ã— X â†’ 0,âˆž defined by p x, y max{x, y} for all x, y â‰¥ 0. Let F : X â†’ X be a nondecreasing function. If F isâ€¦ (More)