[PDF] Top 20 On the solution of two sided fractional ordinary differential equations of Caputo type
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On the solution of two sided fractional ordinary differential equations of Caputo type
... between two-sided equations and exit problems for Feller processes (already mentioned in [27]), we provide some explicit solutions to two-sided equations in the context of ... See full document
22
The general solution of differential equations with Caputo Hadamard fractional derivatives and impulsive effect
... a Caputo-type modification of the Hadamard fractional derivative in [] (by the Caputo-Hadamard fractional derivative, we refer to this mod- ified fractional derivative) and ... See full document
16
Comparison principles for fractional differential equations with the Caputo derivatives
... of fractional differential equations with the Caputo derivatives greatly at- tracted the attention of many scholars for their wide applications to various fields, such as in physics, engineering, ... See full document
11
Generalised fractional evolution equations of Caputo type
... the solution to the linear problem (1), we reduce the analysis of (2) to a fixed point problem for a suitable linear operator (see Theorem ...HJB type case, our results for the generalised non-linear ... See full document
29
On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
... sequential fractional derivative is given, for example, on ...sequential fractional deriva- tives and the non-sequential Riemann-Liouville derivatives [, ...sequential fractional differential ... See full document
12
Lyapunov type inequalities for nonlinear fractional differential equations and systems involving Caputo type fractional derivatives
... nonlinear fractional differential equations involving Caputo-type fractional derivatives have been ...other fractional boundary value ... See full document
15
Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions
... for two new classes of sequential fractional differential equations of Riemann–Liouville and Caputo types with generalized fractional integral boundary conditions, by using standard fixed ... See full document
17
On impulsive partial differential equations with Caputo Hadamard fractional derivatives
... mixed Caputo-Hadamard fractional derivative is introduced based on the Caputo-type modification of Hadamard fractional derivatives in the existing paper, and impulsive partial ... See full document
21
On the probabilistic approach to the solution of generalized fractional differential equations of Caputo and Riemann Liouville type
... generalized fractional operator of Riemann-Liouville (RL) type and Caputo type considered in this work provide a powerful link between stochastic analysis and the solutions to classical ... See full document
178
On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro multipoint boundary conditions
... local fractional derivatives can be found in ...of fractional differential ...for fractional differential systems supplemented with a variety of classical and non-classical (nonlocal) boundary ... See full document
19
Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type
... nonlinear equations involving generalized Caputo and Riemann- Liouville type fractional ...the solution to the generalized linear problem recently obtained by the ...sical ... See full document
30
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
... The fractional calculus was bounded up with fractional integrals obtained by iterating an integral to get the nth order integral and then replacing n by any number, and then by using the classical method ... See full document
13
Fractional-order differential equations with anti-periodic boundary conditions: a survey
... nonlinear fractional-order differential equations, inclusions and coupled systems supple- mented with a variety of anti-periodic (and anti-periodic type) boundary ...of fractional calculus and ... See full document
27
On approximate solutions for two higher order Caputo Fabrizio fractional integro differential equations
... for two high-order fractional differential equations including the Caputo-Fabrizio ...high-order equations. Also, we discuss two illustrative examples to confirm the reported ... See full document
11
Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles
... of ordinary and (Caputo) fractional differential equations depicting the susceptible-exposed-infectious-recovered (SEIR) models of ...and fractional stochastic processes, we ... See full document
19
A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... The fractional derivative in the Caputo ...of fractional order γ > 0, and not necessarily equivalent to each other,(see, ...The Caputo fractional derivative allows the utilization of ... See full document
12
Generalized Quasilinearization for PBVP for Hybrid Caputo Fractional Differential Equations
... these two areas of interest, the study of hybrid fractional differential equation or fractional differential equation with impulses have been ...of fractional differential ... See full document
7
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, ... See full document
20
Impulsive initial value problems for a class of implicit fractional differential equations
... implicit fractional differential equations involving the Caputo fractional derivative of order β ∈ (1, ...results two examples are ... See full document
14
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 ... See full document
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