A novel exact solution for the fractional Ambartsumian equation

DOI10.1186/S13662-021-03235-WzbMath1487.45005OpenAlexW3165412603MaRDI QIDQ2136692

Amnah Al-Juhani, Essam R. El-Zahar, Carlo Cattani, Abd Elhalim Ebaid

Publication date: 12 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03235-w

zbMATH Keywords

Laplace transformMittag-Leffler functionexact solutionfractional calculusAdomian decomposition methodAmbartsumian equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Numerical methods for ordinary differential equations (65L99) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

ON THE EXACT SOLUTION OF THE FUNCTIONAL DIFFERENTIAL EQUATION ⋮ SOLUTION OF A DIFFERENTIAL-DIFFERENCE EQUATION VIA AN ANSATZ METHOD

Cites Work

• Unnamed Item
• A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
• Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions
• Finding all real roots of a polynomial by matrix algebra and the Adomian decomposition method
• An advanced study on the solution of nanofluid flow problems via Adomian's method
• A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method
• On the solution of algebraic equations by the decomposition method
• The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
• Algebraic equations with exponential terms
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solving frontier problems of physics: the decomposition method
• Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative
• Modelling of transmission dynamics of Nipah virus (Niv): a fractional order approach
• Vieta-Lucas polynomials for solving a fractional-order mathematical physics model
• Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations
• Exact solution of Ambartsumian delay differential equation and comparison with Daftardar-Gejji and Jafari approximate method
• On the \(q\)-analog of the Laplace transform
• Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions
• Adomian decomposition method for a reliable treatment of the Bratu-type equations
• Fractional calculus involving \((p, q)\)-Mathieu type series
• An approach for solving singular two point boundary value problems: analytical and numerical treatment
• ALGEBRAIC COMPUTATION AND THE DECOMPOSITION METHOD
• NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• On overall behavior of Maxwell mechanical model by the combined Caputo fractional derivative

This page was built for publication: A novel exact solution for the fractional Ambartsumian equation