On two structures of the fractional q-sequential integro-differential boundary value problems

Our aim in the present research article is to discuss some existence aspects of solutions for two given fractional q-sequential structures of an integro-differential BVP in which the R.H.S. nonlinear term is regarded as two functions in both single-valued and multivalued versions. In addition to this, we formulate the boundary conditions in the framework of the mixed q-integro-derivative conditions simultaneously. For such new fractional q-sequential integro-differential structures, we utilize suitable standard analytical methods attributed to Krasnoselskii on the sum of two operators. In the final stage, we design two simulative examples to check the consistency of findings in the context of the proposed techniques.