Implicit Fractional Differential and Integral Equations :: Existence and Stability /
This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ;Boston :
De Gruyter,
[2018]
|
| Schriftenreihe: | De Gruyter Series in Nonlinear Analysis and Applications ;
26 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard-Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations. |
| Beschreibung: | 1 online resource (359p.). |
| ISBN: | 9783110553819 3110553813 311055318X 9783110553130 3110553139 9783110553185 |
Internformat
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| 245 | 0 | 0 | |a Implicit Fractional Differential and Integral Equations : |b Existence and Stability / |c Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| 264 | 1 | |a Berlin ;Boston : |b De Gruyter, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (359p.). | ||
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| 546 | |a In English. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Introduction -- |t 1 Preliminary Background -- |t 2 Nonlinear Implicit Fractional Differential Equations -- |t 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- |t 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- |t 5 Boundary Value Problems for Impulsive NIFDE -- |t 6 Integrable Solutions for Implicit Fractional Differential Equations -- |t 7 Partial Hadamard Fractional Integral Equations and Inclusions -- |t 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- |t 9 Hadamard-Stieltjes Fractional Integral Equations -- |t 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- |t Bibliography -- |t Index |
| 520 | |a This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard-Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations. | ||
| 650 | 0 | |a Fractional differential equations. |0 http://id.loc.gov/authorities/subjects/sh2014000574 | |
| 650 | 0 | |a Fractional integrals. |0 http://id.loc.gov/authorities/subjects/sh85067104 | |
| 650 | 4 | |a Differentialgleichung. | |
| 650 | 4 | |a Existenzsatz. | |
| 650 | 4 | |a Gebrochene Analysis. | |
| 650 | 4 | |a Integralgleichung. | |
| 650 | 4 | |a Stabilität. | |
| 650 | 6 | |a Équations différentielles fractionnaires. | |
| 650 | 6 | |a Intégrales fractionnaires. | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / General. |2 bisacsh | |
| 650 | 7 | |a Fractional differential equations |2 fast | |
| 650 | 7 | |a Fractional integrals |2 fast | |
| 700 | 1 | |a Benchohra, Mouffak, |e author. | |
| 700 | 1 | |a Graef, John R., |e author. | |
| 700 | 1 | |a Henderson, Johnny, |e author. | |
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| author | Benchohra, Mouffak Graef, John R. Henderson, Johnny |
| author_facet | Benchohra, Mouffak Graef, John R. Henderson, Johnny |
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| contents | Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard-Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index |
| ctrlnum | (OCoLC)1170709553 |
| dewey-full | 515.83 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.83 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1170709553 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T15:50:49Z |
| institution | BVB |
| isbn | 9783110553819 3110553813 311055318X 9783110553130 3110553139 9783110553185 |
| language | English |
| oclc_num | 1170709553 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (359p.). |
| psigel | ZDB-4-EBA |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | De Gruyter, |
| record_format | marc |
| series2 | De Gruyter Series in Nonlinear Analysis and Applications ; |
| spelling | Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. Berlin ;Boston : De Gruyter, [2018] ©2018 1 online resource (359p.). text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Series in Nonlinear Analysis and Applications ; 26 In English. Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard-Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard-Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations. Fractional differential equations. http://id.loc.gov/authorities/subjects/sh2014000574 Fractional integrals. http://id.loc.gov/authorities/subjects/sh85067104 Differentialgleichung. Existenzsatz. Gebrochene Analysis. Integralgleichung. Stabilität. Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS / Differential Equations / General. bisacsh Fractional differential equations fast Fractional integrals fast Benchohra, Mouffak, author. Graef, John R., author. Henderson, Johnny, author. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1710668 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1710668 Volltext |
| spellingShingle | Benchohra, Mouffak Graef, John R. Henderson, Johnny Implicit Fractional Differential and Integral Equations : Existence and Stability / Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard-Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index Fractional differential equations. http://id.loc.gov/authorities/subjects/sh2014000574 Fractional integrals. http://id.loc.gov/authorities/subjects/sh85067104 Differentialgleichung. Existenzsatz. Gebrochene Analysis. Integralgleichung. Stabilität. Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS / Differential Equations / General. bisacsh Fractional differential equations fast Fractional integrals fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2014000574 http://id.loc.gov/authorities/subjects/sh85067104 |
| title | Implicit Fractional Differential and Integral Equations : Existence and Stability / |
| title_alt | Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard-Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index |
| title_auth | Implicit Fractional Differential and Integral Equations : Existence and Stability / |
| title_exact_search | Implicit Fractional Differential and Integral Equations : Existence and Stability / |
| title_full | Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| title_fullStr | Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| title_full_unstemmed | Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| title_short | Implicit Fractional Differential and Integral Equations : |
| title_sort | implicit fractional differential and integral equations existence and stability |
| title_sub | Existence and Stability / |
| topic | Fractional differential equations. http://id.loc.gov/authorities/subjects/sh2014000574 Fractional integrals. http://id.loc.gov/authorities/subjects/sh85067104 Differentialgleichung. Existenzsatz. Gebrochene Analysis. Integralgleichung. Stabilität. Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS / Differential Equations / General. bisacsh Fractional differential equations fast Fractional integrals fast |
| topic_facet | Fractional differential equations. Fractional integrals. Differentialgleichung. Existenzsatz. Gebrochene Analysis. Integralgleichung. Stabilität. Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS / Differential Equations / General. Fractional differential equations Fractional integrals |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1710668 |
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