Mathematical analysis

Ecology

Ordinary differential equation

Boundary values

Partial differential equation

Mathematics

Biology

Fractional calculus

Approx

Operating system

Boundary value problem

Computer science

Differential equation

Lebesgue integration

Pointwise convergence

Type (biology)

Pointwise

Boundary Value Problems

By using the Caputo type and the Riemann–Liouville type fractional q -derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q -integro-differential equation with some boundary value conditions. In fact, we give some results by considering different conditions and using some classical fixed point techniques and the Lebesgue dominated convergence theorem.

On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation