Variational Problems with Time Delay and Higher-Order Distributed-Order Fractional Derivatives with Arbitrary Kernels

In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing a new operator. This derivative combines two known operators: respect to another function. The main results of paper are necessary sufficient optimality conditions for different types problems. Since generalized derivatives, from some well-known can be obtained as particular cases.