Nonlocal initial value problems for differential equations with Hilfer fractional derivative

Dynamics and Stability Results for Hilfer Fractional Type Thermistor Problem

“…For more details on Hilfer fractional derivative, interested readers can refer to [6,10,12,13,15,31]. …”

“…R. Hilfer initiated the Hilfer fractional derivative. This is used to interpolate both the Riemann-Liouville and the Caputo fractional derivative for the theory and applications of the Hilfer fractional derivative (see, e.g., [6,[10][11][12][13][14][15][16] and references cited therein). Analogously, we prefer the Hilfer derivative operator that interpolates both the Riemann-Liouville and the Caputo derivative.…”

Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions

“…[33]) (Hilfer fractional derivative) The left-sided Hilfer fractional derivative of order 0 < < 1 and 0 ÄˇÄ 1 of function f .t/ is defined as…”

Null controllability of nonlocal Hilfer fractional stochastic differential equations

“…Beside Caputo and Riemann-Liouville fractional derivatives, there exists a new definition of fractional derivative introduced by Hilfer, which generalized the concept of Riemann-Liouville derivative and has many application in physics, for more details, see [10][11][12]25].…”