Abstract
Crisis intervention in natural disasters is significant to look at from many different slants. In the current study, we investigate the existence of solutions for q-integro-differential equation
D-q(alpha) u(t) + w (t, u(t), u'(t), D-q(beta) u(t), integral(t)(0) f(r)u(r) dr, phi(u(t))) = 0,
with three criteria and under some boundary conditions which therein we use the concept of Caputo fractional q-derivative and fractional Riemann-Liouville type q-integral. New existence results are obtained by applying alpha-admissible map. Lastly, we present two examples illustrating the primary effects.