Results on solvability of nonlinear quadratic integral equations of fractional orders in Banach algebra

The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations

“…In this section, as an application, we apply our main result to prove an example. Our main result can be applied for recent results presented in [25][26][27][28][29][30][31][32][33][34][35]. Example 1.…”

Radu–Miheţ Method for the Existence, Uniqueness, and Approximation of the ψ-Hilfer Fractional Equations by Matrix-Valued Fuzzy Controllers

“…and get the best approximation with a better estimate for the pseudo ψ-Hilfer fractional Volterra integral equation. Our method can be used for new problems; for more problems and details, we refer to [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. 4)- (7).…”

Existence and Hyers-Ulam stability of solutions to the implicit second-order differential equation via fractional integral boundary conditions

“…There has been a huge advancement in fractional derivatives with Riemann-Liouville, Caputo, Hilfer, Hadamard, and others. Ongoing outcomes on fractional calculus and fractional differential equations can be found in [7,[17][18][19][20]29]. The Caputo fractional derivative has recently been applied in different areas of the physical interpretation of initial conditionsand boundary conditions.…”