Solvability of a solution and controllability of partial fractional differential systems

A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation

“…Performing integration by part and using lemma 2, 3, 4, and 5 by the same way in the articles [15][16][17][18][19][20][21][22][23][24], we obtain…”

“…Many researchers have widely studied the solvability "existence and uniqueness" of solutions of fractional and integer partial differential equation problem by many method; see, for example, [18][19][20][21][22][23].…”

Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

“…The later one is regarded one of the most important methods that were mainly developed in the 1960s, but they are still powerful tools today to deal with nonlinear evolution equations, especially those who are modeled by non-classical boundary conditions that consist of integral conditions [10][11][12][13]. Non-local and integral partial differential equations are used to solve a vast range of current physics and technology challenges [14][15][16][17][18][19]. When it is hard to directly measure the minimum and maximum values on the border, the overall value or average is known.…”