Caputo Type Fractional Derivative
New concepts of fractional Hahn’s \(q,\omega \) derivative of Riemann–Liouville type and Caputo type and applications
... the fractional Hahn q, ω-calculus with a q-shifting operator on the interval [a, ...on fractional q-calculus, which will be used in the later ...the fractional Hahn q, ω-derivative of ...
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Positive solutions of fractional differential equation with two pieces in chain interval and simultaneous Dirichlet boundary conditions
... some fractional integro- differential equations involving the Caputo–Fabrizio derivation ...extended fractional Caputo–Fabrizio derivative for the existence of solutions for two ...
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On high order fractional integro-differential equations including the Caputo–Fabrizio derivative
... order fractional integro-differential ...new fractional derivatives entitled CFD and DCF and by using those we investigate the existence of solutions for two high order fractional integro-differential ...
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The extended fractional Caputo–Fabrizio derivative of order \(0\leq \sigma <1\) on \(C {\mathbb{R}}[0,1]\) and the existence of solutions for two higher order series type differential equations
... the fractional Caputo–Fabrizio derivative were investigated very re- cently in ...the Caputo–Fabrizio fractional derivative is discussed in he distributional setting ...the ...
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On boundary value problems of higher order abstract fractional integro-differential equations
... nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H¨ older inequality, Krasnoselskii’s ...
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A non local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
... most fractional differential equations do not have exact analytic solutions, so approximation and numerical techniques must be ...for fractional differential equations were reported in ...
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Lyapunov-type Inequality for Higher Order Fractional Boundary Value Problem with Caputo Derivative
... a fractional boundary value problem of order 𝛼 for 𝛼 ∈ (3, ...and fractional eigenvalue problems, we determined lower bounds for the first eigenvalue from Lyapunov-type and Cauchy-Schwarz type ...
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Existence results for a fraction hybrid differential inclusion with Caputo–Hadamard type fractional derivative
... of fractional differential equations and inclusions has been developed intensively (for example, see [1–8] and the references ...of fractional differential equations can be found in ...Hybrid ...
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A fractional order pine wilt disease model with Caputo–Fabrizio derivative
... A Caputo–Fabrizio type fractional order mathematical model for the dynamics of pine wilt disease (FPWD) is ...order derivative provides more flexible and deeper information about the complexity ...
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Fractional integral problems for fractional differential equations via Caputo derivative
... We see that the operator F : U → C([, T ], R ) is continuous and completely continuous. From the choice of U, there is no u ∈ ∂U such that u = νFu for some ν ∈ (, ). Conse- quently, by the nonlinear alternative of ...
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On the Solutions of a Class of Fractional Hyperbolic Integro-Differential Inclusions
... generalized Caputo-Katugampola fractional derivative was proposed in [10] by Katugampola and afterwards he provided the existence of solutions for fractional differential equations defined by ...
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Numerical solution of fractional order mathematical model of drug resistant tuberculosis with two line treatment
... studied fractional order mathematical model that describes drug resistant tubercu- losis with two line treatment by using Caputo fractional ...taking fractional order. It is to be noted that ...
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Lyapunov type inequalities for an anti periodic fractional boundary value problem involving ψ Caputo fractional derivative
... studied. Note that (1.7) is a special case of (1.1) with ψ (x) = x and f (x, z) = w(x)z. Motivated by the above cited works, the problem (1.1) is investigated in this paper. The rest of the paper is organized as follows. ...
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Periodic boundary value problems for singular fractional differential equations with impulse effects
... the fractional derivatives (Riemann-Liouville fractional derivative, Caputo fractional derivative and Hadamard fractional derivative and other type see [40]) ...
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Incomplete Caputo fractional derivative operators
... of Caputo fractional derivative operators and show their use in the special function ...incomplete Caputo fractional derivative operators and show that the images of some ...
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M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions
... involving Caputo fractional derivative are established using fixed point ...Leray-Schauder type nonlinear alternatve are applied to study existence ...
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Fractionalization of a Class of Semi Linear Differential Equations
... related fractional integrals have found applications in diverse areas such as chemistry, biology, physics, finance, pharmacology, electrical circuits, heat transfer, diffusion processes, material science, visco- ...
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Caputo type modification of the Hadamard fractional derivatives
... of fractional calculus as it has been applied to many fields of ...that fractional derivatives and integrals are more convenient for describing real materi- als, and some physical problems were treated by ...
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Generalised fractional evolution equations of Caputo type
... tions of the type in (3) have been actively studied in the literature. Amongst the standard analytical approaches to solve FPDE’s, the Laplace-Fourier transform method plays an important role (see, e.g., [9], ...
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Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
... of fractional order, involving various types of bound- ary conditions, has been the subject of interest in the pure and applied ...of fractional order can be found in the series [3–21] and in the references ...
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