Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions
In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with Riemann–Stieltjes fractional integral boundary condi...
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| Format: | Article |
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MDPI AG
2021-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/3/130 |
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| author | Suphawat Asawasamrit Yasintorn Thadang Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Suphawat Asawasamrit Yasintorn Thadang Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Suphawat Asawasamrit |
| collection | DOAJ |
| description | In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with Riemann–Stieltjes fractional integral boundary conditions. The existence of a unique solution is obtained via Banach’s contraction mapping principle, while an existence result is established by using Leray–Schauder nonlinear alternative. Examples illustrating the main results are also constructed. |
| first_indexed | 2024-03-10T10:09:13Z |
| format | Article |
| id | doaj.art-e55bf40c1eb7413db1b41190166fd6e5 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T10:09:13Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-e55bf40c1eb7413db1b41190166fd6e52023-11-22T01:20:46ZengMDPI AGAxioms2075-16802021-06-0110313010.3390/axioms10030130Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary ConditionsSuphawat Asawasamrit0Yasintorn Thadang1Sotiris K. Ntouyas2Jessada Tariboon3Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIn the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with Riemann–Stieltjes fractional integral boundary conditions. The existence of a unique solution is obtained via Banach’s contraction mapping principle, while an existence result is established by using Leray–Schauder nonlinear alternative. Examples illustrating the main results are also constructed.https://www.mdpi.com/2075-1680/10/3/130impulsive differential equationsfractional impulsive differential equationsinstantaneous impulsesnon-instantaneous impulses |
| spellingShingle | Suphawat Asawasamrit Yasintorn Thadang Sotiris K. Ntouyas Jessada Tariboon Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions Axioms impulsive differential equations fractional impulsive differential equations instantaneous impulses non-instantaneous impulses |
| title | Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions |
| title_full | Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions |
| title_fullStr | Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions |
| title_full_unstemmed | Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions |
| title_short | Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions |
| title_sort | non instantaneous impulsive boundary value problems containing caputo fractional derivative of a function with respect to another function and riemann stieltjes fractional integral boundary conditions |
| topic | impulsive differential equations fractional impulsive differential equations instantaneous impulses non-instantaneous impulses |
| url | https://www.mdpi.com/2075-1680/10/3/130 |
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