Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative

DOI10.1186/S13661-020-01473-7zbMath1489.45007OpenAlexW3112702490WikidataQ115241473 ScholiaQ115241473MaRDI QIDQ2126720

Bounmy Khaminsou, Chatthai Thaiprayoon, Weerawat Sudsutad, Jehad O. Alzabut

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01473-7

zbMATH Keywords

existence and uniquenessnonlocal integral conditionsUlam stabilityfractional Langevin equationgeneralized proportional fractional derivative

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Stability for generalized Caputo proportional fractional delay integro-differential equations ⋮ On a coupled system of fractional differential equations via the generalized proportional fractional derivatives ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Applications of new contraction mappings on existence and uniqueness results for implicit \(\phi\)-Hilfer fractional pantograph differential equations

Cites Work

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• Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses
• A study of nonlinear Langevin equation involving two fractional orders in different intervals
• Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions
• Langevin equation with two fractional orders
• Existence and uniqueness of solutions to fractional Langevin equations involving two fractional orders
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations
• On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation
• Radial symmetry of solution for fractional \(p\)- Laplacian system
• Fractional Langevin equation with anti-periodic boundary conditions
• Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy-Schrödinger systems
• Nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions
• A Gronwall inequality via the generalized proportional fractional derivative with applications
• Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions
• Nonlinear Langevin equations and inclusions involving mixed fractional order derivatives and variable coefficient with fractional nonlocal-terminal conditions
• On the oscillation of differential equations in frame of generalized proportional fractional derivatives
• Standing waves of nonlinear fractional \(p\)-Laplacian Schrödinger equation involving logarithmic nonlinearity
• On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders
• Three-point boundary value problems for the Langevin equation with the Hilfer fractional derivative
• Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions

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