Implicit Fractional Differential Equations via the Liouville–Caputo Derivative
Copyright policy )Implicit Fractional Differential Equations via the Liouville–Caputo Derivative
We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and uniqueness results.
Fractional differential equations, fractional integral, Applications of operator theory to differential and integral equations, fractional derivative, fractional differential equations, Fractional ordinary differential equations, Fractional derivative, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Liouville–Caputo derivative, QA1-939, implicit, Mathematics, Liouville-Caputo derivative, Fractional integral, Implicit, Implicit ordinary differential equations, differential-algebraic equations
Fractional differential equations, fractional integral, Applications of operator theory to differential and integral equations, fractional derivative, fractional differential equations, Fractional ordinary differential equations, Fractional derivative, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Liouville–Caputo derivative, QA1-939, implicit, Mathematics, Liouville-Caputo derivative, Fractional integral, Implicit, Implicit ordinary differential equations, differential-algebraic equations
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