Nonlinear Functional Boundary Value Problems for Conformable Fractional Dynamic Equations on Time Scales

  • Bouharket BendoumaEmail author
  • Ahmed Hammoudi


In this paper, we establish the existence of solutions for the conformable fractional dynamic equations on time scales, with nonlinear functional boundary value conditions. We first obtain the exact expression of the fractional Green’s function related to the linear conformable fractional dynamic problem and then we study the nonlinear functional boundary problems, by means of the upper and lower solutions method together with Schauder’s fixed-point theorem.


Conformable fractional calculus on time scales conformable fractional dynamic equation nonlinear functional boundary conditions Green’s function upper and lower solutions 

Mathematics Subject Classification

34N05 34A08 34K37 34B15 26A33 



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Authors and Affiliations

  1. 1.Ibn Khaldoun, Tiaret UniversityTiaretAlgeria
  2. 2.University of Sidi Bel AbbèsSidi Bel AbbèsAlgeria
  3. 3.Laboratory of MathematicsAin Témouchent UniversityAin TémouchentAlgeria

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