Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function

Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function

Abstract In this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function with respect to another function. The existence of solutions is established by us...

Full description

Bibliographic Details
Main Authors: Chanon Promsakon, Eakachai Suntonsinsoungvon, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Advances in Difference Equations
Subjects:
Impulsive fractional differential equations
Separated boundary conditions
Fixed point theorems
Online Access:http://link.springer.com/article/10.1186/s13662-019-2416-6
id doaj-c852fac02eb94fbb9a59ce7694303852
record_format Article
spelling doaj-c852fac02eb94fbb9a59ce76943038522020-11-25T04:12:07ZengSpringerOpenAdvances in Difference Equations1687-18472019-11-012019111710.1186/s13662-019-2416-6Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another functionChanon Promsakon0Eakachai Suntonsinsoungvon1Sotiris K. Ntouyas2Jessada Tariboon3Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokDepartment of Mathematics Statistic and Computer Science, Faculty of Liberal Arts and Science, Kasetsart UniversityDepartment of Mathematics, University of IoanninaIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokAbstract In this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function with respect to another function. The existence of solutions is established by using the Leray–Schauder nonlinear alternative, and the uniqueness result is proved via Banach’s contraction mapping principle. Some examples are also constructed to demonstrate the application of main results.http://link.springer.com/article/10.1186/s13662-019-2416-6Impulsive fractional differential equationsSeparated boundary conditionsFixed point theorems
collection DOAJ
language English
format Article
sources DOAJ
author Chanon Promsakon
Eakachai Suntonsinsoungvon
Sotiris K. Ntouyas
Jessada Tariboon
spellingShingle Chanon Promsakon
Eakachai Suntonsinsoungvon
Sotiris K. Ntouyas
Jessada Tariboon
Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
Advances in Difference Equations
Impulsive fractional differential equations
Separated boundary conditions
Fixed point theorems
author_facet Chanon Promsakon
Eakachai Suntonsinsoungvon
Sotiris K. Ntouyas
Jessada Tariboon
author_sort Chanon Promsakon
title Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
title_short Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
title_full Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
title_fullStr Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
title_full_unstemmed Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
title_sort impulsive boundary value problems containing caputo fractional derivative of a function with respect to another function
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-11-01
description Abstract In this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function with respect to another function. The existence of solutions is established by using the Leray–Schauder nonlinear alternative, and the uniqueness result is proved via Banach’s contraction mapping principle. Some examples are also constructed to demonstrate the application of main results.
topic Impulsive fractional differential equations
Separated boundary conditions
Fixed point theorems
url http://link.springer.com/article/10.1186/s13662-019-2416-6
work_keys_str_mv AT chanonpromsakon impulsiveboundaryvalueproblemscontainingcaputofractionalderivativeofafunctionwithrespecttoanotherfunction
AT eakachaisuntonsinsoungvon impulsiveboundaryvalueproblemscontainingcaputofractionalderivativeofafunctionwithrespecttoanotherfunction
AT sotiriskntouyas impulsiveboundaryvalueproblemscontainingcaputofractionalderivativeofafunctionwithrespecttoanotherfunction
AT jessadatariboon impulsiveboundaryvalueproblemscontainingcaputofractionalderivativeofafunctionwithrespecttoanotherfunction
_version_ 1724416059878932480

Similar Items