On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives
The main intention of this research article is to introduce a new class of generalized fractional differential equations that fall into the categories of Sturm-Liouville’s, Langevin’s, and hybrid’s problems involving Y-Caputo fractional derivatives. The existence of the solutions of the proposed equ...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1561375 |
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| author | Abdellatif Boutiara Hanan A. Wahash Heba Y. Zahran Emad E. Mahmoud Abdel-Haleem Abdel-Aty El Sayed Yousef |
| author_facet | Abdellatif Boutiara Hanan A. Wahash Heba Y. Zahran Emad E. Mahmoud Abdel-Haleem Abdel-Aty El Sayed Yousef |
| author_sort | Abdellatif Boutiara |
| collection | DOAJ |
| description | The main intention of this research article is to introduce a new class of generalized fractional differential equations that fall into the categories of Sturm-Liouville’s, Langevin’s, and hybrid’s problems involving Y-Caputo fractional derivatives. The existence of the solutions of the proposed equations is discussed by using the technique of the measure of noncompactness related to the fixed point theorem, which is a generalization of Darbo’s fixed point theorem. Additionally, pertinent examples are provided along with the different values of the function Y to confirm the validity of the reported results. |
| format | Article |
| id | doaj-art-67d09655e7f34d9694102da4e634e1fa |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-67d09655e7f34d9694102da4e634e1fa2025-08-20T03:34:02ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1561375On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional DerivativesAbdellatif Boutiara0Hanan A. Wahash1Heba Y. Zahran2Emad E. Mahmoud3Abdel-Haleem Abdel-Aty4El Sayed Yousef5Laboratory of Mathematics and Applied SciencesDepartment of MathematicsLaboratory of Nano-Smart Materials for Science and Technology (LNSMST)Department of Mathematics and StatisticsDepartment of PhysicsLaboratory of Nano-Smart Materials for Science and Technology (LNSMST)The main intention of this research article is to introduce a new class of generalized fractional differential equations that fall into the categories of Sturm-Liouville’s, Langevin’s, and hybrid’s problems involving Y-Caputo fractional derivatives. The existence of the solutions of the proposed equations is discussed by using the technique of the measure of noncompactness related to the fixed point theorem, which is a generalization of Darbo’s fixed point theorem. Additionally, pertinent examples are provided along with the different values of the function Y to confirm the validity of the reported results.http://dx.doi.org/10.1155/2022/1561375 |
| spellingShingle | Abdellatif Boutiara Hanan A. Wahash Heba Y. Zahran Emad E. Mahmoud Abdel-Haleem Abdel-Aty El Sayed Yousef On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives Journal of Function Spaces |
| title | On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives |
| title_full | On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives |
| title_fullStr | On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives |
| title_full_unstemmed | On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives |
| title_short | On Solutions of Hybrid–Sturm-Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives |
| title_sort | on solutions of hybrid sturm liouville langevin equations with generalized versions of caputo fractional derivatives |
| url | http://dx.doi.org/10.1155/2022/1561375 |
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