Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations

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Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions (2018, unknown): “Putting for v(t1), (11) implies v(t) = 1 Γ(σ) ∫ t”
The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2) (2015, methodology): “Furthermore, impulsive differential equations are used for describing some processes with impulsive effects, and impulsive Caputo fractional differential equations were widely studied (see [29]-[34]).”
EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS (2010, background): “Recently Benchohra and Slimani [6,7] discussed the existence and uniqueness of solutions of impulsive fractional differential equations and Ahmad and Sivasundaram [1] discussed the existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations.”
A survey on impulsive fractional differential equations (2016, methodology): “This approach is used in several papers (see for example, [1, 3, 6, 7, 19]).”
A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations (2016, methodology): “In [20], the authors pointed out that the formula, based on (V1) of solutions for IFrDE in [1], [3], [10] is incorrect and gave a new formula using approach (V2).”