An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness

An approximate method for solving fractional system differential equations

IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all poi...

Approximate Solution of Fuzzy Fractional Differential Equations

‎In this paper we propose a method for computing approximations of solution of fuzzy fractional differential equations using fuzzy variational iteration method. Defining a fuzzy fractional derivative, we verify the utility of the method through two illustrative ‎examples.‎

Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces

and Applied Analysis 3 To investigate the approximate controllability of system (9), we assume the following conditions. (H4) The functionf:[0, b]×X → X satisfies the following: (a) f(t, ⋅) : X → X is continuous for each t ∈ [0, b] and for each x ∈ X, f(⋅, x) : [0, b] → X is strongly measurable; (b) there is a positive integrable function n ∈ L 1 ([0, b], [0, +∞)) and a continuous nondecreasing...

Approximate controllability of fractional differential equations via resolvent operators

where D is the Caputo fractional derivative of order α with  < α < , A :D(A)⊂ X → X is the infinitesimal generator of a resolvent Sα(t), t ≥ , B : U → X is a bounded linear operator, u ∈ L([,b],U), X and U are two real Hilbert spaces, J–α t h denotes the  – α order fractional integral of h ∈ L([,b],X). The controllability problem has attracted a lot of mathematicians and engineers’ att...

Approximate Boundary Controllability for Semilinear Delay Differential Equations