Mathematical analysis of nonlocal implicit impulsive problem under Caputo fractional boundary conditions

DOI10.1155/2020/7681479zbMath1459.34005OpenAlexW3109546267MaRDI QIDQ2217017

Arshad Ali, Fahd Jarad, Kamal Shah, Vidushi Gupta, Thabet Abdeljawad

Publication date: 18 December 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7681479

Mathematics Subject Classification ID

Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)

Related Items (6)

INVESTIGATION OF INTEGRAL BOUNDARY VALUE PROBLEM WITH IMPULSIVE BEHAVIOR INVOLVING NON-SINGULAR DERIVATIVE ⋮ Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives ⋮ Some inequalities on multi-functions for applying in the fractional Caputo-Hadamard jerk inclusion system ⋮ Exponential synchronization and stabilization of delayed feedback hyperchaotic financial system ⋮ An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator ⋮ Fundamental results to the weighted Caputo-type differential operator

Cites Work

• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses
• Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
• Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Analysis of implicit type nonlinear dynamical problem of impulsive fractional differential equations
• Stability of integral Caputo-type boundary value problem with noninstantaneous impulses
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions
• Positive solutions of nonlinear fractional differential equations with integral boundary value conditions
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