The continuous fractional calculus has a long history within the broad area of mathematical
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …

This paper deals with the solutions of fuzzy fractional differential equations (FFDEs) under
Riemann–Liouville H-differentiability by fuzzy Laplace transforms. In order to solve FFDEs, it …

In this paper, we shall discuss the properties of the well-known Mittag–Leffler function, and
consider the existence and uniqueness of solution of the initial value problem for fractional …

In this paper, we apply the concept of Caputo's H-differentiability, constructed based on the
generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) …

Positive solutions for a class of boundary value problems with fractional q-differences -
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In this paper, by employing the fixed point theory and the monotone iterative technique, we
investigate the existence of a unique solution for a class of nonlinear fractional integro …

The fuzzy systems with interval approach use an infinite valued parameter in the range of [0,
1] as a confidence degree of belief. This parameter makes more complicity but plays the …

In this paper, we study the following singular boundary value problem of a nonlocal
fractional differential equation {D 0+ α u (t)+ q (t) f (t, u (t))= 0, 0< t< 1, n− 1< α≤ n, u (0) …

In this paper, we analyze several different types of discrete sequential fractional boundary
value problems. Our prototype equation is− Δ μ 1 Δ μ 2 Δ μ 3 y (t)= f (t+ μ 1+ μ 2+ μ 3− 1, y (t+ …

One-dimensional fractional anomalous sub-diffusion equations on an unbounded domain
are considered in our work. Beginning with the derivation of the exact artificial boundary …