Advances in Special Functions of Fractional Calculus: special functions in fractional calculus and their applications in engineering.
In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in n...
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| Other Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Sharjah :
Bentham Science Publishers,
2023.
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| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the imp. |
| Item Description: | Description based upon print version of record. |
| Physical Description: | 1 online resource (304 p.) |
| ISBN: | 9815079336 9789815079333 |
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| 505 | 0 | |a Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Preface -- List of Contributors -- Modified Adaptive Synchronization and Anti-Synchronization Method for Fractional OrderChaotic Systems with Uncertain Parameters -- Improved Generalized Differential TransformMethod for a Class of Linear NonhomogeneousOrdinary Fractional Differential Equations -- Incomplete K2-function -- Some Results on Incomplete HypergeometricFunctions -- Transcendental Bernstein Series: Interpolation andApproximation -- Some Sufficient Conditions for Uniform Convexityof Normalized 1F2 Function | |
| 505 | 8 | |a From Abel Continuity Theorem to Paley-WienerTheorem -- A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials -- Computational Preconditioned Gauss-Seidel viaHalf-Sweep Approximation to Caputo's Time-Fractional Differential Equations -- Krasnoselskii-type Theorems for MonotoneOperators in Ordered Banach Algebra withApplications in Fractional Differential Equationsand Inclusion -- General Fractional Order Quadratic FunctionalIntegral Equations: Existence, Properties ofSolutions, and Some of their Applications | |
| 505 | 8 | |a Non-linear Set-Valued Delay Functional IntegralEquations of Volterra-Stieltjes Type: Existenceof Solutions, Continuous Dependence and Applications -- Certain Saigo Fractional Derivatives of ExtendedHypergeometric Functions -- Some Erdélyi-Kober Fractional Integrals of theExtended Hypergeometric Functions -- On Solutions of the Kinetic Model by SumuduTransform -- Subject Index -- Back Cover | |
| 520 | |a In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the imp. | ||
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| 650 | 6 | |a Dérivées fractionnaires. | |
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| 700 | 1 | |a Jain, Shilpi. | |
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| contents | Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Preface -- List of Contributors -- Modified Adaptive Synchronization and Anti-Synchronization Method for Fractional OrderChaotic Systems with Uncertain Parameters -- Improved Generalized Differential TransformMethod for a Class of Linear NonhomogeneousOrdinary Fractional Differential Equations -- Incomplete K2-function -- Some Results on Incomplete HypergeometricFunctions -- Transcendental Bernstein Series: Interpolation andApproximation -- Some Sufficient Conditions for Uniform Convexityof Normalized 1F2 Function From Abel Continuity Theorem to Paley-WienerTheorem -- A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials -- Computational Preconditioned Gauss-Seidel viaHalf-Sweep Approximation to Caputo's Time-Fractional Differential Equations -- Krasnoselskii-type Theorems for MonotoneOperators in Ordered Banach Algebra withApplications in Fractional Differential Equationsand Inclusion -- General Fractional Order Quadratic FunctionalIntegral Equations: Existence, Properties ofSolutions, and Some of their Applications Non-linear Set-Valued Delay Functional IntegralEquations of Volterra-Stieltjes Type: Existenceof Solutions, Continuous Dependence and Applications -- Certain Saigo Fractional Derivatives of ExtendedHypergeometric Functions -- Some Erdélyi-Kober Fractional Integrals of theExtended Hypergeometric Functions -- On Solutions of the Kinetic Model by SumuduTransform -- Subject Index -- Back Cover |
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| id | ZDB-4-EBA-on1381889339 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:48:06Z |
| institution | BVB |
| isbn | 9815079336 9789815079333 |
| language | English |
| oclc_num | 1381889339 |
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| publishDate | 2023 |
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| spelling | Advances in Special Functions of Fractional Calculus [electronic resource] : special functions in fractional calculus and their applications in engineering. Sharjah : Bentham Science Publishers, 2023. 1 online resource (304 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier Description based upon print version of record. Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Preface -- List of Contributors -- Modified Adaptive Synchronization and Anti-Synchronization Method for Fractional OrderChaotic Systems with Uncertain Parameters -- Improved Generalized Differential TransformMethod for a Class of Linear NonhomogeneousOrdinary Fractional Differential Equations -- Incomplete K2-function -- Some Results on Incomplete HypergeometricFunctions -- Transcendental Bernstein Series: Interpolation andApproximation -- Some Sufficient Conditions for Uniform Convexityof Normalized 1F2 Function From Abel Continuity Theorem to Paley-WienerTheorem -- A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials -- Computational Preconditioned Gauss-Seidel viaHalf-Sweep Approximation to Caputo's Time-Fractional Differential Equations -- Krasnoselskii-type Theorems for MonotoneOperators in Ordered Banach Algebra withApplications in Fractional Differential Equationsand Inclusion -- General Fractional Order Quadratic FunctionalIntegral Equations: Existence, Properties ofSolutions, and Some of their Applications Non-linear Set-Valued Delay Functional IntegralEquations of Volterra-Stieltjes Type: Existenceof Solutions, Continuous Dependence and Applications -- Certain Saigo Fractional Derivatives of ExtendedHypergeometric Functions -- Some Erdélyi-Kober Fractional Integrals of theExtended Hypergeometric Functions -- On Solutions of the Kinetic Model by SumuduTransform -- Subject Index -- Back Cover In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the imp. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. Agarwal, Praveen. http://id.loc.gov/authorities/names/no2019002893 Jain, Shilpi. Print version: Agarwal, Praveen Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering Sharjah : Bentham Science Publishers,c2023 9789815079340 |
| spellingShingle | Advances in Special Functions of Fractional Calculus special functions in fractional calculus and their applications in engineering. Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Preface -- List of Contributors -- Modified Adaptive Synchronization and Anti-Synchronization Method for Fractional OrderChaotic Systems with Uncertain Parameters -- Improved Generalized Differential TransformMethod for a Class of Linear NonhomogeneousOrdinary Fractional Differential Equations -- Incomplete K2-function -- Some Results on Incomplete HypergeometricFunctions -- Transcendental Bernstein Series: Interpolation andApproximation -- Some Sufficient Conditions for Uniform Convexityof Normalized 1F2 Function From Abel Continuity Theorem to Paley-WienerTheorem -- A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials -- Computational Preconditioned Gauss-Seidel viaHalf-Sweep Approximation to Caputo's Time-Fractional Differential Equations -- Krasnoselskii-type Theorems for MonotoneOperators in Ordered Banach Algebra withApplications in Fractional Differential Equationsand Inclusion -- General Fractional Order Quadratic FunctionalIntegral Equations: Existence, Properties ofSolutions, and Some of their Applications Non-linear Set-Valued Delay Functional IntegralEquations of Volterra-Stieltjes Type: Existenceof Solutions, Continuous Dependence and Applications -- Certain Saigo Fractional Derivatives of ExtendedHypergeometric Functions -- Some Erdélyi-Kober Fractional Integrals of theExtended Hypergeometric Functions -- On Solutions of the Kinetic Model by SumuduTransform -- Subject Index -- Back Cover Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. |
| subject_GND | http://id.loc.gov/authorities/subjects/sh93004015 |
| title | Advances in Special Functions of Fractional Calculus special functions in fractional calculus and their applications in engineering. |
| title_auth | Advances in Special Functions of Fractional Calculus special functions in fractional calculus and their applications in engineering. |
| title_exact_search | Advances in Special Functions of Fractional Calculus special functions in fractional calculus and their applications in engineering. |
| title_full | Advances in Special Functions of Fractional Calculus [electronic resource] : special functions in fractional calculus and their applications in engineering. |
| title_fullStr | Advances in Special Functions of Fractional Calculus [electronic resource] : special functions in fractional calculus and their applications in engineering. |
| title_full_unstemmed | Advances in Special Functions of Fractional Calculus [electronic resource] : special functions in fractional calculus and their applications in engineering. |
| title_short | Advances in Special Functions of Fractional Calculus |
| title_sort | advances in special functions of fractional calculus special functions in fractional calculus and their applications in engineering |
| title_sub | special functions in fractional calculus and their applications in engineering. |
| topic | Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. |
| topic_facet | Fractional calculus. Dérivées fractionnaires. |
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