Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order
Snezhana Hristova, Amar Benkerrouche, Mohammed Said Souıd, Ali Hakem
Abstract
A boundary value problem for Hadamard fractional differential equations of variable order is studied. Note the symmetry of a transformation of a system of differential equations is connected with the locally solvability which is the same as the existence of solutions. It leads to the necessity of obtaining existence criteria for a boundary value problem for Hadamard fractional differential equations of variable order. Also, the stability in the sense of Ulam–Hyers–Rassias is investigated. The results are obtained based on the Kuratowski measure of noncompactness. An example illustrates the validity of the observed results.
Topics & Concepts
MathematicsHadamard transformBoundary value problemMathematical analysisVariable (mathematics)Differential equationOrder (exchange)Ordinary differential equationApplied mathematicsFinanceEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations