Baleanu, DumitruBaleanu, DumitruDarzi, R.Agheli, Bahram2020-03-062020-03-062019Baleanu, D.; Darzi, R.; Agheli, B., "Fractional Hybrid Initial Value Problem Featuring Q-Derivatives", Acta Mathematica Universitatis Comenianae, Vol. 88, No. 2, pp. 229-238, (2019).0231-6986https://hdl.handle.net/20.500.12416/2615We have perused about the existence of a solution toward hybrid initial value problem (HIVP) featuring fractional q-derivative {D-q(delta)[v(t)/h(t,v(t) max(0 <=tau <= t)vertical bar v(t)vertical bar] rho(t, v(t)), t is an element of(0,1), 0 < delta <= 1`, in which D-q(delta) denotes the Riemann-Liouville fractional q-derivative in the order of delta. In Banach algebra, by making use of a fi xed point theorem based Dhage along with mixed Lipschitz and Caratheodory condition, a way of solving the above fractional Hybrid initial value problem (FHIVP) featuring q-derivatives veri fi ed, in this study.eninfo:eu-repo/semantics/closedAccessExistence SolutionBoundary Value ProblemFixed Point TheoremFractional Q-Difference EquationArticle882229238