A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders

DOI10.1186/1687-1847-2012-54zbMath1291.34004OpenAlexW2118015722WikidataQ59289665 ScholiaQ59289665MaRDI QIDQ2448042

Bashir Ahmad, Ahmed Alsaedi, Juan. J. Nieto

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-54

zbMATH Keywords

Langevin equationinclusionsfixed point theoremsnonlocal boundary conditionsfractional order

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) 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

Unnamed Item, The existence and uniqueness of solutions for a class of nonlinear fractional differential equations with infinite delay, Theories of tempered fractional calculus applied to tempered fractional Langevin and Vasicek equations, Single upper-solution or lower-solution method for Langevin equations with two fractional orders, On higher-order sequential fractional differential inclusions with nonlocal three-point boundary conditions, Langevin differential equations with general fractional orders and their applications to electric circuit theory, Existence results for fractional differential inclusions arising from real estate asset securitization and HIV models, Fractional Langevin equations with nonseparated integral boundary conditions, A class of fractional \(p\)-Laplacian integrodifferential equations in Banach spaces, Nonnegative solutions of initial value problems for Langevin equations involving two fractional orders, Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions, The existence of solution for \(k\)-dimensional system of Langevin Hadamard-type fractional differential inclusions with \(2k\) different fractional orders, A k-dimensional system of Langevin Hadamard-type fractional differential inclusions with 2k different fractional orders

Cites Work

• The fixed point theorems of 1-set-contractive operators in Banach space
• The existence of fixed points for new nonlinear multivalued maps and their applications
• Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
• A study of nonlinear Langevin equation involving two fractional orders in different intervals
• Boundary value problems for \(q\)-difference inclusions
• Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions
• Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations
• Langevin equation with two fractional orders
• Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
• Some boundary value problems of fractional differential equations and inclusions
• Existence results for fractional neutral integro-differential equations with state-dependent delay
• Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• On type of periodicity and ergodicity to a class of fractional order differential equations
• On the existence of solutions for nonconvex hyperbolic differential inclusions
• The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• An existence result for a superlinear fractional differential equation
• Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• On positive solutions of a nonlocal fractional boundary value problem
• Convex analysis and measurable multifunctions
• Some new existence results for fractional differential inclusions with boundary conditions
• Multi-valued contraction mappings in generalized metric spaces
• Generalized Langevin equation revisited: mechanical random force and self-consistent structure
• The Langevin and Fokker–Planck Equations in Polymer Rheology
• On the solution set for a class of sequential fractional differential equations
• A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order
• Langevin equation with super-heavy-tailed noise
• EXISTENCE RESULTS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH SEPARATED BOUNDARY CONDITIONS
• The fractional oscillator process with two indices
• Extensions and selections of maps with decomposable values
• Advances in Fractional Calculus
• 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