Fen - Edebiyat Fakültesi
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Browsing Fen - Edebiyat Fakültesi by Journal "Acta Mathematica Universitatis Comenianae"
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Article Fractional Hybrid Initial Value Problem Featuring Q-Derivatives(Comenius Univ, 2019) Baleanu, Dumitru; Darzi, R.; Agheli, Bahram; 56389We 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.