Using the techniques of approximate solutions, the analytic resolvent method, and the uniform continuity of the resolvent, we discuss the existence of mild solutions for nonlocal fractional differential equations governed by a linear closed operator which generates a resolvent.
Since the analytic resolvent operator (R cdot)) is equicontinuous, (R (t-s)F s, W_{s}+tilde{varphi}_{s})) is piecewise equicontinuous on each (overline{J}_{i} = [s_{i}, t_{i+1}]), (i = 0, 1, ldots, N).
(H1) The analytic resolvent operator (R t)) generated by A, and there exist constants M, (M_{1}) such that (| R t)|_{L(H }leq M), (| h(t)|_{L(H }leq M_{1} ) for every (tgeq0).
This experimental assessment uses the Analytic Network Process (ANP) and Analytic Hierarchy Process (AHP) established by Saaty (2008).
We establish the equivalence between the general variational inclusions and the fixed point problems as well as with a new class of resolvent equations using the resolvent operator technique.
Using the resolvent operator technique and a new analytic technique, some existence theorems and iterative approximation techniques are presented for these fuzzy multivalued variational inclusions.
Using the Resolvent Identity and, we discover (3.39).
To achieve this, we express them using the resolvent matrix of (widehat {mathbf {H}}).
Essentially, using the resolvent technique, one can show that the variational inclusions are commensurate to the fixed point problems.
