Conformable Fractional Differential Equations
On Comparison Theorems for Conformable Fractional Differential Equations
... The remaining part of the paper proceeds as follows: the second section of this paper will review the basic tools of conformable fractional calculus. The third section begins by laying out the main results ...
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Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations
... In this paper, we study a class of boundary value problems for conformable fractional differential equations under a new definition. Firstly, by using the monotone iterative technique and the ...
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An analytical approach to obtain exact solutions of some space time conformable fractional differential equations
... Nonlinear fractional differential equations (FDEs) have an important role in studying var- ious areas of engineering, physics, and applied mathematics ...[14], fractional complex transform [15], ...
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Basic theory of initial value problems of conformable fractional differential equations
... differential equations with the Riemann–Liouville or Caputo fractional derivatives ...the conformable fractional derivatives, as far as we know, the global existence and extension and ...
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Positive solutions of conformable fractional differential equations with integral boundary conditions
... The fractional derivative is a generalization of the classical one to an arbitrary order, and the question of what is a fractional derivative was first raised by L’Hôpital in a letter to Leibniz in ...then, ...
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Oscillation theorems for three classes of conformable fractional differential equations
... of conformable fractional differential equa- ...the conformable fractional derivative. The three equations represent three classes of equations of different ...
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Conformable Laplace Transform of Fractional Differential Equations
... of fractional derivatives have been introduced to date, among which the Riemann-Liouville, Caputo, Hadamard, Caputo-Hadamard, Erdélyi-Kober, Weyl, Marchaud and Riesz are just a few to name ...properties: ...
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Periodic boundary value problems for impulsive conformable fractional integro-differential equations
... The monotone iterative technique coupled with the method of lower and upper solu- tions provides an effective way to obtain two sequences which approximate the extremal solutions between lower and upper solutions of ...
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Existence of positive solutions of boundary value problems for high order nonlinear conformable differential equations with p Laplacian operator
... of fractional derivatives, namely Riemann–Liouville and Caputo, are ...Riemann–Liouville fractional derivative because it is amenable to many mathematical manipulations, while physicists and engineers ...
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Forced oscillation of fractional differential equations via conformable derivatives with damping term
... differential equations gained considerable importance due to their various ap- plications in viscoelasticity, electroanalytical chemistry, control theory, many physical problems, ...of fractional calculus ...
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Solitary and periodic wave solutions of higher dimensional conformable time fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \) expansion method
... improved fractional sub-equation method, whereas Kaplan et ...the conformable fractional derivative and its important properties are ...the conformable BP model and KdV–ZK equation with ...
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On the Wave Solutions of Conformable Fractional Evolution Equations
... used in the series are determined by forcing the solution to satisfy the equation. Kudryashov, himself, describes the method as one of old methods to solve nonlin- ear differential equations exactly[3]. ...
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Stability Analysis of Conformable Fractional Systems
... Fractional differential equations are generalizations of classical differential equations of integer order that have recently proved to be valuable tools for the modelling of many ...
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Neumann method for solving conformable fractional Volterra integral equations
... by fractional differential equations (FDEs) and fractional integral equations ...solve fractional integral equations (see [2–6, 8–14, 26, ...integral equations in ...
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Vol 9, No 3 (2018)
... of conformable fractional nonlinear homogeneous differential equations by using the equivalence transformation and associated Riccati ...
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Oscillation of differential equations in the frame of nonlocal fractional derivatives generated by conformable derivatives
... generalized fractional derivatives, called conformable fractional derivatives (CFDs), based on conformable ...generalized fractional differential equations of the ...
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Differential transform method for conformable fractional partial differential equations
... for fractional derivative in most of which integral forms have been widely ...of fractional derivative called a conformable frac- tional derivative was proposed by Khalil et ...the conformable ...
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ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL
... The present study was designed to make the generalization of some inequalities for conformable differential equations. For this purpose we use the Katugampola derivative formulation of ...
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ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS
... for conformable fractional derivatives, Contri- butions in Mathematics and Engineering, in Honor of Constantin Caratheodory, Springer, to ...for conformable differential equations, ...
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On solutions of fractional Riccati differential equations
... We apply an iterative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. The analysis implemented in this work forms a crucial step in the process of ...
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