Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering
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| Title: | Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering |
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| Description: | In recent years, special functions have been developed and applied in a variety of fields, such as combinatory, 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. are demonstrated by 15 chapters. Many chapters highlight the importance of fundamental results and techniques of the theory of complex analysis for partial differential equations Contributions emphasize articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems List of Chapters1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional order chaotic systems with uncertain parameters2. Improved generalized differential transform method for a class of linear non homogeneous ordinary fractional differential equation3. Incomplete K2-Function4. Some Results On Incomplete Hypergeometric Functions5. Transcendental Bernstein Series: Interpolation and Approximation6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function7. From Abel continuity theorem to Paley-Wiener theorem 8. A New Class of Truncated Exponential-Gould-Hopper basedGenocchi Polynomials9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications12.Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications13.Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions15. On solutions of Kinetic Model by Sumudu transform |
| Authors: | Praveen, Agarwal, Shilpi, Jain |
| Resource Type: | eBook. |
| Subjects: | Fractional calculus |
| Categories: | MATHEMATICS / Calculus |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | In recent years, special functions have been developed and applied in a variety of fields, such as combinatory, 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. are demonstrated by 15 chapters. Many chapters highlight the importance of fundamental results and techniques of the theory of complex analysis for partial differential equations Contributions emphasize articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems List of Chapters1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional order chaotic systems with uncertain parameters2. Improved generalized differential transform method for a class of linear non homogeneous ordinary fractional differential equation3. Incomplete K2-Function4. Some Results On Incomplete Hypergeometric Functions5. Transcendental Bernstein Series: Interpolation and Approximation6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function7. From Abel continuity theorem to Paley-Wiener theorem 8. A New Class of Truncated Exponential-Gould-Hopper basedGenocchi Polynomials9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications12.Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications13.Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions15. On solutions of Kinetic Model by Sumudu transform |
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| ISBN: | 9789815079340 9789815079333 |
