Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions

DOI10.1007/s12346-022-00650-6zbMath1505.34006OpenAlexW4296139662WikidataQ114220803 ScholiaQ114220803MaRDI QIDQ2675103

Ravi P. Agarwal, Afrah Assolami, Bashir Ahmad, Ahmed Alsaedi

Publication date: 20 September 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00650-6

zbMATH Keywords

incomplete gamma functionexistencefixed pointcoupled systemUlam-Hyers stabilitynonlocal integral-multipoint boundary conditionssequential Hilfer fractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (3)

Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions ⋮ On a mixed nonlinear fractional boundary value problem with a new class of closed integral boundary conditions ⋮ Analysis of a coupled system of \(\psi\)-Caputo fractional derivatives with multipoint-multistrip integral type boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the nonlinear fractional differential equations with Caputo sequential fractional derivative
• Hilfer-Prabhakar derivatives and some applications
• Sequential fractional differential equations with Hadamard derivative
• Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• Mathematical modeling of fractional differential filtration dynamics based on models with Hilfer-Prabhakar derivative
• Fractals and fractional calculus in continuum mechanics
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Existence, uniqueness and Ulam's stability of solutions for a coupled system of fractional differential equations with integral boundary conditions
• A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
• Mathematical models and problems of fractional-differential dynamics of some relaxation filtration processes
• Nonlinear sequential Riemann-Liouville and Caputo fractional differential equations with generalized fractional integral conditions
• Stability of \(\psi\)-Hilfer impulsive fractional differential equations
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• Existence and Ulam-Hyers stability results of a coupled system of \(\psi\)-Hilfer sequential fractional differential equations
• Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses
• Attractivity for Hilfer fractional stochastic evolution equations
• Sequential generalized Riemann-Liouville derivatives based on distributional convolution
• Some properties of implicit impulsive coupled system via \(\varphi \)-Hilfer fractional operator
• A fractional-order differential equation model of COVID-19 infection of epithelial cells
• On the existence and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative
• A study of a fully coupled two-parameter system of sequential fractional integro-differential equations with nonlocal integro-multipoint boundary conditions
• Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann-Stieltjes integral multi-strip boundary conditions
• On coupled systems for Hilfer fractional differential equations with nonlocal integral boundary conditions
• On the \(\psi\)-Hilfer fractional derivative
• The existence and Ulam-Hyers stability results for \(\psi\)-Hilfer fractional integrodifferential equations
• Three-point boundary value problems for the Langevin equation with the Hilfer fractional derivative
• Existence results for a nonlocal coupled system of sequential fractional differential equations involving \(\psi\)-Hilfer fractional derivatives
• On the novel Ulam-Hyers stability for a class of nonlinear \(\psi\)-Hilfer fractional differential equation with time-varying delays
• Hilfer fractional advection-diffusion equations with power-law initial condition; a numerical study using variational iteration method
• Nonlocal coupled system for \(\psi\)-Hilfer fractional order Langevin equations
• Ulam-Hyers stability of Caputo type fuzzy fractional differential equations with time-delays
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Nonlocal Nonlinear Fractional-Order Boundary Value Problems
• Boundary Value Problems for Fractional Differential Equations and Systems
• Theory of Fractional Evolution Equations
• Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system
• On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions

This page was built for publication: Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions