Boundary value problems for impulsive multi-order Hadamard fractional differential equations

DOI10.1186/S13661-015-0414-5zbMath1341.34013OpenAlexW1935433506WikidataQ59429609 ScholiaQ59429609MaRDI QIDQ283484

Suthep Suantai, Weera Yukunthorn, Jessada Tariboon, Sotiris K. Ntouyas

Publication date: 13 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-015-0414-5

zbMATH Keywords

existencefixed point theoremsimpulsive differential equationsHadamard fractional calculus

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)

Related Items (15)

ON SYSTEM OF NONLINEAR HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIFFERENT ORDERS ⋮ A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions ⋮ New existence results for solutions of BVPs for higher order IFDEs involving Riemann-Liouville type Hadamard fractional derivatives ⋮ Unnamed Item ⋮ Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives ⋮ Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems ⋮ Positive solutions for a class of nonlinear Hadamard fractional differential equations with a parameter ⋮ Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator ⋮ Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions ⋮ Periodic boundary value problems for impulsive conformable fractional integro-differential equations ⋮ Impulsive problems for fractional differential equations with functional boundary value conditions at resonance ⋮ Positive solutions for a new class of Hadamard fractional differential equations on infinite intervals ⋮ Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval ⋮ Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• Caputo-type modification of the Hadamard fractional derivatives
• Boundary value problems for Riemann-Liouville fractional differential inclusions with nonlocal Hadamard fractional integral conditions
• Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations
• The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay
• A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• On Caputo modification of the Hadamard fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• A new impulsive multi-orders fractional differential equation involving multipoint fractional integral boundary conditions
• On a multipoint boundary value problem for a fractional order differential inclusion on an infinite interval
• Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
• Generalizations of fixed-point theorems of Altman and Rothe types
• On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
• An existence result for fractional differential inclusions with nonlinear integral boundary conditions
• Hadamard-type integrals as G-transforms

This page was built for publication: Boundary value problems for impulsive multi-order Hadamard fractional differential equations