Some existence results for impulsive nonlinear fractional differential equations with closed boundary conditions

DOI10.1155/2012/387629zbMath1261.34004OpenAlexW2128784899WikidataQ58696489 ScholiaQ58696489MaRDI QIDQ1938184

Hilmi Ergören, Adem Kilicman

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/387629

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (8)

Existence of solutions of a new class of impulsive initial value problems of singular nonlinear fractional differential systems ⋮ Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives ⋮ A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications ⋮ On a mixed nonlinear fractional boundary value problem with a new class of closed integral boundary conditions ⋮ Nonlinear multi-term impulsive fractional \(q\)-difference equations with closed boundary conditions ⋮ Impulsive functional delay differential inclusions of fractional order at variable times ⋮ EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS ⋮ Impulsive fractional differential inclusions with flux boundary conditions

Cites Work

• Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Nonlocal and multiple-point boundary value problem for fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• On the fractional order \(m\)-point boundary value problem in reflexive Banach spaces and weak topologies
• Existence of periodic solution for a nonlinear fractional differential equation
• Existence of solutions for impulsive integral boundary value problems of fractional order
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Advances in Fractional Calculus
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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