Analysis and applications of sequential hybrid \(\psi\)-Hilfer fractional differential equations and inclusions in Banach algebra

DOI10.1007/s12346-022-00710-xOpenAlexW4311253800MaRDI QIDQ2677760

A. George Maria Selvam, D. Vignesh, Abdelatif Boutiara, Jehad O. Alzabut

Publication date: 6 January 2023

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

Full work available at URL: https://doi.org/10.1007/s12346-022-00710-x

zbMATH Keywords

inclusionsBanach algebrassequentialDhage fixed point theorem\(\psi\)-Hilfer fractional operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08) Hybrid systems of ordinary differential equations (34A38)

Cites Work

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• Existence results for hybrid fractional integro-differential equations
• Controllability of fractional damped dynamical systems
• Controllability of nonlinear higher order fractional dynamical systems
• Glaeske-Kilbas-Saigo fractional integration and fractional Dixmier trace
• Existence results for boundary value problems for fractional hybrid differential inclusions
• Modelling of the hamstring muscle group by use of fractional derivatives
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On fractional order hybrid differential equations
• Existence results of initial value problems for hybrid fractional sum-difference equations
• Some properties of pseudo-fractional operators
• Existence results for fractional hybrid differential systems in Banach algebras
• Controllability results for nonlinear fractional-order dynamical systems
• Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum
• Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal
• A Caputo fractional derivative of a function with respect to another function
• Some qualitative analyses of neutral functional delay differential equation with generalized Caputo operator
• On chaos of discrete time fractional order host-immune-tumor cells interaction model
• On Hyers-Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum
• Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative
• The generalized U-H and U-H stability and existence analysis of a coupled hybrid system of integro-differential IVPs involving \(\phi\)-Caputo fractional operators
• On the qualitative analysis of the fractional boundary value problem describing thermostat control model via \(\psi\)-Hilfer fractional operator
• Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative
• On a nonlinear sequential four-point fractional \(q\)-difference equation involving \(q\)-integral operators in boundary conditions along with stability criteria
• On the \(\psi\)-Hilfer fractional derivative
• Fractional boundary value problem with \(\psi\)-Caputo fractional derivative
• Fractional differential equations with mixed boundary conditions
• Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
• Non-standard fractional Lagrangians
• Existence results for neutral functional differential inclusions in Banach algebras
• Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
• On the stability of a hyperbolic fractional partial differential equation
• On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
• Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative
• Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition
• Mixed fractional differential equation with nonlocal conditions in Banach spaces
• On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics
• Physical and geometrical interpretation of fractional operators
• Solvability and stability of nonlinear hybrid \(\Delta\)-difference equations of fractional-order