Existence, uniqueness and convergence solution of nonlinear Caputo-Fabrizio fractional biological population model

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Cites Work

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On the diffusion of biological populations
A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM)
Applications of new contraction mappings on existence and uniqueness results for implicit $\phi$-Hilfer fractional pantograph differential equations
On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields
Further results on existence of positive solutions of generalized fractional boundary value problems
A new numerical technique for solving Caputo time-fractional biological population equation
A novel finite difference-spectral method for fractal mobile/immobile transport model based on Caputo-Fabrizio derivative
Application of some new contractions for existence and uniqueness of differential equations involving Caputo-Fabrizio derivative
Solving fractional-order diffusion equations in a plasma and fluids via a novel transform
Mathematical study of fractional-order biological population model using optimal homotopy asymptotic method
New exact solution of generalized biological population model
BEYOND SUMUDU TRANSFORM AND NATURAL TRANSFORM: <inline-formula><tex-math id="M1">$ {\mathbb J} $</tex-math></inline-formula>-TRANSFORM PROPERTIES AND APPLICATIONS
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus
A novel iterative method to solve nonlinear wave-like equations of fractional order with variable coefficients
On the fractional optimal control problems with a general derivative operator

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