fractional order integral equations
Existence and stability for fractional order integral equations with multiple time delay in Frechet spaces
... functional integral equations of Riemann-Liouville fractional order with multiple time ...following fractional order integral equations for the ...
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Existence of Solution to Fractional Order Integral Equations.
... mathematics. Fractional differential equation plays an important role in the study of various physical chemical and biological phenomenon’s many researchers are attracted from the field of theory methods and ...
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Stability for a class of semilinear fractional stochastic integral equations
... this equations in order to investigate the sta- bility of random ...integrodifferential equations with an Itô integral noise and find the equivalence between almost sure exponential con- ...
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Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... To the best of our knowledge, there are few papers which deal with the positive solutions for systems of nonlinear fractional q-difference equations. Motivated by the wide applica- tions of coupled boundary ...
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Existence of solutions for several higher-order Hadamard-type fractional differential equations with integral boundary conditions on infinite interval
... higher-order integral boundary value problems of Hadamard-type fractional differential equations on an infinite interval by using the monotone iterative technique and Mawhin’s continuation ...
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Fractional integral problems for fractional differential equations via Caputo derivative
... Differential equations with fractional order have recently proved to be valuable tools for the description of hereditary properties of various materials and ...by fractional order ...
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On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition
... 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 485 2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486 3 Fractional ...
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Multiple monotone positive solutions of integral BVPs for a higher order fractional differential equation with monotone homomorphism
... Remark . When θ (t) = t, h(t) = , and A(t) ≡ , the system of Example . is changed into the equations of [, ]. In this paper, we consider the effect of time-delays and the integral boundary value ...
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On a New Fractional Integral Transform and its Applications
... of integral transforms is originated from the Fourier integral ...of integral transforms is that they provide powerful operational method for solving initial and boundary value ...of integral ...
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Bounded solutions for fuzzy integral equations of fractional order
... fuzzy integral, which was the same as that proposed by Dubois and Prade ...and integral equations (see, for example, [5–8], and the references ...
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On nonlocal fractional q-integral boundary value problems of fractional q-difference and fractional q-integrodifference equations involving different numbers of order and q
... Jackson [] initiated quantum calculus or q-difference calculus that can describe many phenomena in various fields of science and engineering. Basic definitions and properties of q-difference calculus can be found in the ...
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Systems of Singularly Perturbed Fractional Integral Equations II
... leading order since higher order terms of the inner layer solution depend on the actual value of ...Volterra integral equations and fractional calculus, that the formal solution has the ...
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Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations
... differential equations (see [4, 11]) as the well known Gronwall inequality in the theory of ordinary differ- ential ...the order and the initial condition of a fractional differential ...
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Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval
... By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the ...
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Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity
... years, fractional differential equations arise in many engineering and scien- tific fields such as mathematical modeling of systems physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer ...
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Fractional order boundary value problems with Katugampola fractional integral conditions
... of fractional differential equations and inclusions involve dif- ferent kinds of boundary conditions such as nonlocal, integral, and multipoint boundary ...The fractional integral ...
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Riemann-Liouville integral boundary value problems for impulsive fractional integro-differential equations
... first order boundary value problems for fractional differential equations and inclusions with fractional integral boundary ...nonlinear fractional differential equations ...
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Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions
... which is equivalent to the symmetric condition x(t) = x(T – t). Therefore, the condition (.) provides the other ordinary/fractional integral boundary condition which is different from the regular symmetric ...
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An existence and uniqueness theorem for fuzzy H-integral equations of fractional order
... Riemann-Liouville fractional derivatives of order 0 ≤ r ≤ 1 for fuzzy-valued func- tion f which is a direct extension of strongly generalized H-differentiability [9] in the fractional ...
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Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
... The rest of the paper is organized as follows. In the next section, some necessary defi- nitions and mathematical preliminaries of the fractional calculus are introduced. In Sec- tion the error analysis of the ...
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