Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions

[1]  U. Younas,et al.  Propagation of optical pulses in fiber optics modelled by coupled space-time fractional dynamical system , 2023, Alexandria Engineering Journal.

[2]  J. Alzabut,et al.  Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model , 2023, Alexandria Engineering Journal.

[3]  Manar A. Alqudah,et al.  EXISTENCE AND STABILITY RESULTS FOR COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING AB-CAPUTO DERIVATIVE , 2023, Fractals.

[4]  A. Zada,et al.  On fractal-fractional waterborne disease model: a study on theoretical and numerical aspects of solutions via simulations , 2023, Fractals.

[5]  N. Shawagfeh,et al.  Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations , 2022, International Journal of Modern Physics C.

[6]  Banan Maayah,et al.  Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing kernel scheme , 2022, Chinese Journal of Physics.

[7]  N. Shawagfeh,et al.  Fractional crossover delay differential equations of Mittag-Leffler kernel: Existence, uniqueness, and numerical solutions using the Galerkin algorithm based on shifted Legendre polynomials , 2022, Results in Physics.

[8]  N. Shawagfeh,et al.  Fractional delay integrodifferential equations of nonsingular kernels: existence, uniqueness, and numerical solutions using Galerkin algorithm based on shifted Legendre polynomials , 2022, International Journal of Modern Physics C.

[9]  E. Hernández,et al.  Existence and uniqueness of solution for neutral differential equations with state- dependent delay , 2021, Journal of Fixed Point Theory and Applications.

[10]  D. Baleanu,et al.  On a New Modification of the Erdélyi–Kober Fractional Derivative , 2021, Fractal and Fractional.

[11]  Mohammed S Abdo,et al.  Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition , 2021 .

[12]  THABET ABDELJAWAD,et al.  EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS , 2021 .

[13]  D. Seba,et al.  Reproducing kernel Hilbert space method for the numerical solutions of fractional cancer tumor models , 2020, Mathematical Methods in the Applied Sciences.

[14]  Tengfei Shen,et al.  Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator , 2020 .

[15]  P. Duraisamy,et al.  Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions , 2020, Fractional Calculus and Applied Analysis.

[16]  Yongjin Li,et al.  Hyers–Ulam stability of linear fractional differential equations with variable coefficients , 2020 .

[17]  Stability and Existence Analysis to a Coupled System of Caputo Type Fractional Differential Equations with Erdelyi-Kober Integral Boundary Conditions , 2020, Applied Mathematics & Information Sciences.

[18]  J. F. Gómez‐Aguilar,et al.  Stability analysis and numerical solutions of fractional order HIV/AIDS model , 2019, Chaos, Solitons & Fractals.

[19]  J. Vanterler da C. Sousa,et al.  On the ψ-Hilfer fractional derivative , 2017, Commun. Nonlinear Sci. Numer. Simul..

[20]  Bashir Ahmad,et al.  Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions , 2017 .

[21]  Ricardo Almeida,et al.  A Caputo fractional derivative of a function with respect to another function , 2016, Commun. Nonlinear Sci. Numer. Simul..

[22]  M. Abbas.  Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions , 2015 .

[23]  Yaghoub Jalilian,et al.  Existence of Solution for Delay Fractional Differential Equations , 2013 .

[24]  Ravi P. Agarwal,et al.  On fractional integro-differential equations with state-dependent delay , 2011, Comput. Math. Appl..

[25]  Claudio Cuevas,et al.  Existence Results for a Fractional Equation with State-Dependent Delay , 2011 .

[26]  D. H. Hyers.  On the Stability of the Linear Functional Equation. , 1941, Proceedings of the National Academy of Sciences of the United States of America.

[27]  D. Baleanu,et al.  Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application , 2023, AIMS Mathematics.

[28]  S. Ntouyas,et al.  Nonlinear Riemann-Liouville fractional differential equations with nonlocal Erdelyi-Kober fractional integral conditions , 2016 .

[29]  M. Caputo,et al.  A new Definition of Fractional Derivative without Singular Kernel , 2015 .