The Existence and Uniqueness of a Class of Fractional Differential Equations

الملخص EN

By using inequalities, fixed point theorems, and lower and upper solution method, the existence and uniqueness of a class of fractional initial value problems, D0+qx(t)=f(t,x(t), D0+q-1x(t)), t∈(0,T), x(0)=0, D0+q-1x(0)=x0, are discussed, where f∈C([0,T]×R2,R),D0+qx(t) is the standard Riemann-Liouville fractional derivative, 1

Some mistakes in the literature are pointed out and some new inequalities and existence and uniqueness results are obtained.