Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system
Sina Etemad, Iram Iqbal, Mohammad Esmael Samei, Shahram Rezapour, Jehad Alzabut, Weerawat Sudsutad, İzzet Göksel
Abstract
Abstract Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions and with the help of special contractions and admissible maps, we investigate the existence criteria. Fixed points and end points are key roles in this manuscript, and the approximate property for end points helps us to derive the desired result for existence theory. An example is prepared to demonstrate the consistency and correctness of analytical findings.
Topics & Concepts
MathematicsJerkHadamard transformCorrectnessProperty (philosophy)Fractional calculusConsistency (knowledge bases)Class (philosophy)Pure mathematicsApplied mathematicsInequalityHadamard three-lines theoremMathematical analysisDiscrete mathematicsAlgorithmHadamard matrixComputer scienceAccelerationClassical mechanicsEpistemologyArtificial intelligencePhilosophyPhysicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisAdvanced Differential Equations and Dynamical Systems