Existence and Mittag-Leffler-Ulam-stability results for Duffing type problem involving sequential fractional derivatives

DOI10.1007/s40819-022-01398-yOpenAlexW4285091787MaRDI QIDQ2170918

Mohamed Houas, Mohammad Esmael Samei

Publication date: 8 September 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01398-y

zbMATH Keywords

fixed pointDuffing equationfractional derivativeMittag-Leffler-Ulam stability

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Systems of functional equations and inequalities (39B72)

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Cites Work

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• On the nonlinear fractional differential equations with Caputo sequential fractional derivative
• Mittag-Leffler-Ulam stabilities of fractional evolution equations
• On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions
• A generalized Gronwall inequality and its application to a fractional differential equation
• Rate of decay of stable periodic solutions of Duffing equations
• Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The existence of nonnegative solutions for a nonlinear fractional \(q\)-differential problem via a different numerical approach
• On multi-step methods for singular fractional \(q\)-integro-differential equations
• On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation
• On a system of fractional \(q\)-differential inclusions via sum of two multi-term functions on a time scale
• Numerical solution of full fractional Duffing equations with cubic-quintic-heptic nonlinearities
• A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
• Langevin differential equation in frame of ordinary and Hadamard fractional derivatives under three point boundary conditions
• Analysis of Lie symmetry, explicit series solutions, and conservation laws for the nonlinear time-fractional Phi-four equation in two-dimensional space
• Time accurate solution to Benjamin-Bona-Mahony-Burgers equation via Taylor-Boubaker series scheme
• A new nonlinear Duffing system with sequential fractional derivatives
• Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria
• Generalized Gronwall inequalities and their applications to fractional differential equations
• Existence results for a fraction hybrid differential inclusion with Caputo-Hadamard type fractional derivative
• Fixed point theory and the Liouville-Caputo integro-differential FBVP with multiple nonlinear terms
• On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• Periodic boundary value problems for Riemann-Liouville sequential fractional differential equations
• Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations
• THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH
• EXISTENCE AND ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS
• Existence of solutions for k‐dimensional system of multi‐term fractional q‐integro‐differential equations under anti‐periodic boundary conditions via quantum calculus
• A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type

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