On the hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain function

MI Abbas, MA Ragusa - Symmetry, 2021 - mdpi.com
This paper deals with a new class of hybrid fractional differential equations with fractional
proportional derivatives of a function with respect to a certain continuously differentiable and …

[HTML][HTML] On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

D Baleanu, S Etemad, S Rezapour - Alexandria Engineering Journal, 2020 - Elsevier
We investigate the existence of solutions for a fractional hybrid integro-differential equation
with mixed hybrid integral boundary value conditions. In this way, we use a generalization of …

Hybrid Fractional Differential Equations

M Benchohra, E Karapınar, JE Lazreg… - … Differential Equations: New …, 2023 - Springer
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Implicit Fractional Differential Equations

M Benchohra, E Karapınar, JE Lazreg… - Advanced Topics in …, 2023 - Springer
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Analytical analysis of fractional-order sequential hybrid system with numerical application

A Khan, ZA Khan, T Abdeljawad, H Khan - Advances in Continuous and …, 2022 - Springer
We investigate a general sequential hybrid class of fractional differential equations in the
Caputo and Atangana–Baleanu fractional senses of derivatives. We consider the existence …

Initial value problem for hybrid -Hilfer fractional implicit differential equations

A Salim, M Benchohra, JR Graef, JE Lazreg - Journal of Fixed Point Theory …, 2022 - Springer
This manuscript is devoted to proving the existence of solutions to a class of initial value
problems for nonlinear fractional Hybrid implicit differential equations with a ψ ψ-Hilfer …

Topological degree theory and Caputo–Hadamard fractional boundary value problems

A Amara, S Etemad, S Rezapour - Advances in Difference Equations, 2020 - Springer
We study two hybrid and non-hybrid fractional boundary value problems via the Caputo–
Hadamard type derivatives. We seek the existence criteria for these two problems …

[PDF][PDF] Boundary value problem for hybrid generalized Hilfer fractional differential equations

A Salim, B Ahmad, M Benchohra, JE Lazreg - Differ. Equ. Appl, 2022 - researchgate.net
This manuscript is concerned with the existence of solutions for a class of boundary value
problems for nonlinear fractional hybrid differential equations involving generalized Hilfer …

Nonlocal initial value problem for hybrid generalized Hilfer-type fractional implicit differential equations

A Salim, M Benchohra, JE Lazreg, JJ Nieto… - Nonautonomous …, 2021 - degruyter.com
In this paper, we prove some existence results of solutions for a class of nonlocal initial
value problem for nonlinear fractional hybrid implicit differential equations under …

Hyers–Ulam stability and existence of solution for hybrid fractional differential equation with p-Laplacian operator

A Devi, A Kumar - Chaos, Solitons & Fractals, 2022 - Elsevier
This manuscript studies the hybrid fractional differential equations (FDEs) with the p-
Laplacian operator. The main aim of this research work is to establish the existence and …