On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique
In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/10/1134 |
| _version_ | 1797533802036199424 |
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| author | Ahmed Refice Mohammed Said Souid Ivanka Stamova |
| author_facet | Ahmed Refice Mohammed Said Souid Ivanka Stamova |
| author_sort | Ahmed Refice |
| collection | DOAJ |
| description | In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of the observed results. |
| first_indexed | 2024-03-10T11:20:48Z |
| format | Article |
| id | doaj.art-330ceef487f0428eb990778eb05c79c5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T11:20:48Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-330ceef487f0428eb990778eb05c79c52023-11-21T20:03:35ZengMDPI AGMathematics2227-73902021-05-01910113410.3390/math9101134On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC TechniqueAhmed Refice0Mohammed Said Souid1Ivanka Stamova2Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi bel Abbes 22000, AlgeriaDepartment of Economic Sciences, University of Tiaret, Tiaret 14035, AlgeriaDepartment of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USAIn this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of the observed results.https://www.mdpi.com/2227-7390/9/10/1134derivatives and integrals of variable-orderboundary value problemDarbo’s fixed point theoremmeasure of noncompactnessUlam–Hyers–Rassias stabilityHadamard derivative |
| spellingShingle | Ahmed Refice Mohammed Said Souid Ivanka Stamova On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique Mathematics derivatives and integrals of variable-order boundary value problem Darbo’s fixed point theorem measure of noncompactness Ulam–Hyers–Rassias stability Hadamard derivative |
| title | On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique |
| title_full | On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique |
| title_fullStr | On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique |
| title_full_unstemmed | On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique |
| title_short | On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique |
| title_sort | on the boundary value problems of hadamard fractional differential equations of variable order via kuratowski mnc technique |
| topic | derivatives and integrals of variable-order boundary value problem Darbo’s fixed point theorem measure of noncompactness Ulam–Hyers–Rassias stability Hadamard derivative |
| url | https://www.mdpi.com/2227-7390/9/10/1134 |
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