Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators
In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-11-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/10/4/313 |
| _version_ | 1797506610172526592 |
|---|---|
| author | Kulandhaivel Karthikeyan Panjaiyan Karthikeyan Nichaphat Patanarapeelert Thanin Sitthiwirattham |
| author_facet | Kulandhaivel Karthikeyan Panjaiyan Karthikeyan Nichaphat Patanarapeelert Thanin Sitthiwirattham |
| author_sort | Kulandhaivel Karthikeyan |
| collection | DOAJ |
| description | In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence results. In addition, an application is also considered. |
| first_indexed | 2024-03-10T04:35:01Z |
| format | Article |
| id | doaj.art-b495c738d79040928d78e1c9d30d6c26 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T04:35:01Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-b495c738d79040928d78e1c9d30d6c262023-11-23T03:49:56ZengMDPI AGAxioms2075-16802021-11-0110431310.3390/axioms10040313Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial OperatorsKulandhaivel Karthikeyan0Panjaiyan Karthikeyan1Nichaphat Patanarapeelert2Thanin Sitthiwirattham3Department of Mathematics & Centre for Research and Development, KPR Institute of Engineering and Technology, Coimbatore 641 407, IndiaPG and Research Department of Mathematics, Sri Vasavi College, Erode 638 136, IndiaDepartment of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandMathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, ThailandIn this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence results. In addition, an application is also considered.https://www.mdpi.com/2075-1680/10/4/313Hilfer fractional derivativemild solutionsimpulsive conditionsalmost sectorial operatorsmeasure of non-compactness |
| spellingShingle | Kulandhaivel Karthikeyan Panjaiyan Karthikeyan Nichaphat Patanarapeelert Thanin Sitthiwirattham Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators Axioms Hilfer fractional derivative mild solutions impulsive conditions almost sectorial operators measure of non-compactness |
| title | Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators |
| title_full | Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators |
| title_fullStr | Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators |
| title_full_unstemmed | Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators |
| title_short | Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators |
| title_sort | mild solutions for impulsive integro differential equations involving hilfer fractional derivative with almost sectorial operators |
| topic | Hilfer fractional derivative mild solutions impulsive conditions almost sectorial operators measure of non-compactness |
| url | https://www.mdpi.com/2075-1680/10/4/313 |
| work_keys_str_mv | AT kulandhaivelkarthikeyan mildsolutionsforimpulsiveintegrodifferentialequationsinvolvinghilferfractionalderivativewithalmostsectorialoperators AT panjaiyankarthikeyan mildsolutionsforimpulsiveintegrodifferentialequationsinvolvinghilferfractionalderivativewithalmostsectorialoperators AT nichaphatpatanarapeelert mildsolutionsforimpulsiveintegrodifferentialequationsinvolvinghilferfractionalderivativewithalmostsectorialoperators AT thaninsitthiwirattham mildsolutionsforimpulsiveintegrodifferentialequationsinvolvinghilferfractionalderivativewithalmostsectorialoperators |